zbMath0556.46002MaRDI QIDQ3219291
N. Tenney Peck, James W. Roberts, Nigel J. Kalton
Publication date: 1984
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30)
Sequence spaces (including Köthe sequence spaces) (46A45)
Theorems of Hahn-Banach type; extension and lifting of functionals and operators (46A22)
Classical Banach spaces in the general theory (46B25)
Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06)
Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15)
(Semi-) Fredholm operators; index theories (47A53)
Research exposition (monographs, survey articles) pertaining to functional analysis (46-02)
Vector-valued measures and integration (46G10)
General theory of topological algebras (46H05)
Locally convex Fréchet spaces and (DF)-spaces (46A04)
Open mapping and closed graph theorems; completeness (including (B)-, (B_r)-completeness) (46A30)
Summability and bases in topological vector spaces (46A35)
Convex sets in topological linear spaces; Choquet theory (46A55)
Convex sets in topological vector spaces (aspects of convex geometry) (52A07)
Tensor products in functional analysis (46M05)
Banach envelopes in symmetric spaces of measurable operators,
Toward an optimal theory of integration for functions taking values in quasi-Banach spaces,
Fixed Point Theorem and Related Nonlinear Analysis by the Best Approximation Method in p-Vector Spaces,
Nearly convex functions, perturbations of norms and $K$-spaces,
Stochastic integration in quasi-Banach spaces,
Lipschitz-free spaces and Schur properties,
Frequently hypercyclic random vectors,
Bilinear interpolation theorems and applications,
Operator-free sparse domination,
Uniqueness of unconditional basis of \(H_p(\mathbb{T}) \oplus \ell_2\) and \(H_p(\mathbb{T}) \oplus \mathcal{T}^{(2)}\) for \(0 < p < 1\),
A generalization of Boyd's interpolation theorem,
FOURIER-TYPE TRANSFORMS ON REARRANGEMENT-INVARIANT QUASI-BANACH FUNCTION SPACES,
Interpolation estimates for entropy numbers with applications to non-convex bodies,
An intersection representation for a class of anisotropic vector-valued function spaces,
The Ext group in the categories of topological abelian groups and topological vector spaces,
Cross sections and pseudo-homomorphisms of topological abelian groups,
Sublinear operators on mixed-norm Hardy spaces with variable exponents,
Rigidity of composition operators on the Hardy space \(H^{p}\),
On local quasi-convexity as a three-space property in topological abelian groups,
Trotter–Kato product formula in symmetric F-normed ideals,
On restrictions of Besov functions,
Derivations with values in quasi-normed bimodules of locally measurable operators,
Structural aspects of the non-uniformly continuous functions and the unbounded functions within \(C\)(\(X\)),
Extension of quasi-Hölder embeddings between unit spheres of \(p\)-normed spaces,
Topological results, Rothe's principle and Leray-Schauder alternative for the fixed point equation in \(p\)-vector spaces,
Bounded composition operators on functional quasi-Banach spaces and stability of dynamical systems,
Projections and unconditional bases in direct sums of ℓp spaces, 0<p≤∞,
Monotonicities in Orlicz spaces equipped with Mazur-Orlicz \(F\)-norm,
Abstract Lorentz spaces and Köthe duality,
Uniform monotonicity of Orlicz spaces equipped with the Mazur–Orlicz F‐norm and dominated best approximation in F‐normed Köthe spaces,
Weak type estimates of singular integral operators on Morrey-Banach spaces,
A description of interpolation spaces for quasi-Banach couples by real \(K\)-method,
Ulam-Hyers Stability of Functional Equations in Quasi-β-Banach Spaces,
Unnamed Item,
Pointwise products of some Banach function spaces and factorization,
An algebraic approach to the Weyl groupoid,
Fréchet differentiability of the norm of $L_p$-spaces associated with arbitrary von Neumann algebras,
Lipschitz free \(p\)-spaces for \(0 < p < 1\),
Nonlinear centralizers in homology,
Affine and homeomorphic embeddings into $\ell ^2$,
Martingale transforms and fractional integrals on rearrangement-invariant martingale Hardy spaces,
The AR-property for Roberts’ example of a compact convex set with no extreme points Part 1: General result,
The AR-property for Roberts’ example of a compact convex set with no extreme points Part 2: Application to the example,
Factoring multi-sublinear maps,
Inequalities for the block projection operators,
Generalized triangle inequality of the second type in quasi normed spaces,
Optimal domains for \(L^{0}\)-valued operators via stochastic measures,
On slow decay of Peetre's \(K\)-functional,
Rosenthal’s inequalities: ${\Delta }$-norms and quasi-Banach symmetric sequence spaces,
On the conjecture of Schauder,
Characterization of splitting for Fréchet--Hilbert spaces via interpolation,
On a `philosophical' question about Banach envelopes,
Binary Relations in Mathematical Economics: On Continuity, Additivity and Monotonicity Postulates in Eilenberg, Villegas and DeGroot,
A rigid space homeomorphic to Hilbert space,
Forward-convex convergence in probability of sequences of nonnegative random variables,
Nonlinear structure of some classical quasi-Banach spaces and \(F\)-spaces,
On Nonatomic Banach Lattices and Hardy Spaces,
Variable coefficient transmission problems and singular integral operators on non-smooth manifolds,
Completeness of quasi-normed symmetric operator spaces,
Quasi-Banach spaces of almost universal disposition,
Greedy algorithm for general biorthogonal systems,
Interpolation of multilinear operators acting between quasi-Banach spaces,
Affine synthesis onto \(L^p\) when \(0< p \leq 1\),
Embeddability of snowflaked metrics with applications to the nonlinear geometry of the spaces \(L_p\) and \(\ell_p\) for \(0<p<\infty\),
Unnamed Item,
Solid sequence \(F\)-spaces of \(L_{0}\)-type over submeasures on \(\mathbb N\),
On the bounded approximation property on subspaces of \(\ell_p\) when \(0 < p < 1\) and related issues,
Logarithmic submajorisation and order-preserving linear isometries,
Embeddability of \(\ell_p\) and bases in Lipschitz free \(p\)-spaces for \(0 < p \leq 1\),
Fractional integral operators on Morrey spaces built on rearrangement-invariant quasi-Banach function spaces,
Uniqueness of unconditional basis in Lorentz sequence spaces,
A note on type of weak-$L^1$ and weak-$\ell ^1$ spaces,
Local geometric properties in quasi-normed Orlicz spaces,
On spaces of vector-valued functions modeled on the Hardy and Bergman algebras,
A simple proof that super-reflexive spaces are 𝐾-spaces,
A dichotomy for subsymmetric basic sequences with applications to Garling spaces,
Banach envelopes of some quasi-Banach function spaces,
Copies of the sequence space \(\omega\) in \(F\)-lattices with applications to Musielak−Orlicz spaces,
Copies of \(\mathbb R^{\mathbb N}\) in F-lattices,
Derivations with Values in an Ideal F-spaces of Measurable Functions,
The Andoni–Krauthgamer–Razenshteyn Characterization of Sketchable Norms Fails for Sketchable Metrics,
Isometries of spaces of log-integrable functions,
Rosenthal L∞-theorem revisited,
On quasi-metric and metric spaces,
Strict singularity of a Volterra-type integral operator on $H^p$,
Revision and extension on Hyers-Ulam stability of homomorphisms in quasi-Banach algebras,
Toeplitz and Hankel operators between distinct Hardy spaces,
A Quantitative Open Mapping Theorem for Quasi-Pseudonormed Groups,
Greedy approximation for biorthogonal systems in quasi-Banach spaces,
The optimal range of the Calderòn operator and its applications,
Stability results on interpolation scales of quasi-Banach spaces and applications,
Noncommutative Boyd interpolation theorems,
Homological dimensions of Banach spaces,
Subsequences of the Haar basis consisting of full levels in $H{\textunderscore }p$ for $0 < p < \infty $,
Inverse closedness of approximation algebras,
A lower estimate for weak-type Fourier multipliers,
Characteristics of the Mackey Topology for Abelian Topological Groups,
Atomic decompositions of martingale Hardy-Lorentz spaces and interpolation,
The Banach envelope of Paley-Wiener type spaces,
On the blow-up of GSBV functions under suitable geometric properties of the jump set,
Weighted Hardy inequalities for decreasing sequences and functions,
Extension of isometries between the unit spheres of \(p\)-normed spaces,
Uniqueness of unconditional basis of infinite direct sums of quasi-Banach spaces,
Stability of a mixed additive and quadratic functional equation in quasi-Banach spaces,
Ring isomorphisms of Murray-von Neumann algebras,
Linear operators, Fourier integral operators and \(k\)-plane transforms on rearrangement-invariant quasi-Banach function spaces,
Universal and chaotic multipliers on spaces of operators,
On Lorentz spaces \(\Gamma_{p,w}\),
Symmetrization, factorization and arithmetic of quasi-Banach function spaces,
A boundedness criterion for general maximal operators,
An extension of Milman's reverse Brunn-Minkowski inequality,
Compact convex sets and complex convexity,
Uniqueness of unconditional bases in quasi-Banach spaces with applications to Hardy spaces. II,
Mackey topology on locally convex spaces and on locally quasi-convex groups. Similarities and historical remarks,
Some properties of locally quasi-convex groups,
Optimal extensions for \(p\)th power factorable operators,
The fixed point property for weakly admissible compact convex sets: Searching for a solution to Schauder's conjecture,
Fréchet envelopes of nonlocally convex variable exponent Hörmander spaces,
Plurisubharmonic martingales and barriers in complex quasi-Banach spaces,
Orthomorphisms on non-Banach \(F\)-lattices containing a copy of \(\mathbb{R}^{\mathbb{N}}\) with applications to Musielak-Orlicz spaces,
Category-measure duality: convexity, midpoint convexity and Berz sublinearity,
An alternative approach to the uniqueness of unconditional basis of \(\ell _p(c_{0})\) for \(0<p<1\),
Uniqueness of unconditional bases in nonlocally convex \(\ell _{1}\)-products,
Traces of functions in Hardy and Besov spaces on Lipschitz domains with applications to compensated compactness and the theory of Hardy and Bergman type spaces,
A structural characterization of numéraires of convex sets of nonnegative random variables,
Effros, Baire, Steinhaus and non-separability,
Convex compactness and its applications,
Lebesgue's differentiation theorems in r.i. quasi-Banach spaces and Lorentz spaces \(\Gamma_{p,w}\),
Approximation schemes satisfying Shapiro's theorem,
Choquet type \(L^{1}\)-spaces of a vector capacity,
Bayoumi quasi-differential is not different from Fréchet-differential,
Abstract capacitary estimates and the completeness and separability of certain classes of non-locally convex topological vector spaces,
A new approach to the Ramsey-type games and the Gowers dichotomy in \(F\)-spaces,
Operators with the specification property,
The geometry of \(p\)-convex intersection bodies,
On the Hausdorff variety generated by all locally \(k_\omega\) groups and on Schwartz groups,
On extension of isometries on the unit spheres of \(L^p\)-spaces for \(0 < p \leq 1\),
Disjoint mixing operators,
On being Allen's student,
Lipschitz maps and primitives for continuous functions in quasi-Banach spaces,
Unitary representations of the groups of measurable and continuous functions with values in the circle,
Quasi-additive mappings.,
Duals of vector-valued \(H^ p\)-spaces for \(0<p<1\),
Shapiro's theorem for subspaces,
Geometric properties of \(F\)-normed Orlicz spaces,
Pointwise tensor products of function spaces,
Variants on the Berz sublinearity theorem,
Sign of a perturbed massive Dirac operator and associated Fredholm module,
Weighted Hardy inequalities, real interpolation methods and vector measures,
Nonlinear centralizers in homology. II: The Schatten classes,
Uniqueness of symmetric basis in quasi-Banach spaces,
Rotundity and monotonicity properties of selected Cesàro function spaces,
Algebras of log-integrable functions and operators,
Frequently hypercyclic subspaces,
Boundary value problems for the Laplacian in convex and semiconvex domains,
Orthonormal bases for anisotropic \(\alpha\)-modulation spaces,
Uniqueness of unconditional bases in nonlocally convex \(c_0\)-products,
Quasimultipliers on \(F\)-algebras,
Locally minimal topological groups. II,
The optimal symmetric quasi-Banach range of the discrete Hilbert transform,
Fixed point theorem in subsets of topological vector spaces,
Extending topological abelian groups by the unit circle,
The problem of central orthomorphisms in a class of \(F\)-lattices,
Generalized roundness of the Schatten class, \(\mathcal C_p\),
Locally minimal topological groups. I,
The long homology sequence for quasi-Banach spaces, with applications,
Products and factors of Banach function spaces,
Characterizations of BMO by \(A_p\) weights and \(p\)-convexity,
Kazhdan and Haagerup properties from the median viewpoint.,
Upper frequent hypercyclicity and related notions,
Kadec-Klee properties of some quasi-Banach function spaces,
Anti-Fubini and pseudo-Fubini functions,
New formulas for decreasing rearrangements and a class of Orlicz-Lorentz spaces,
Grand quasi Lebesgue spaces,
Characterization of symmetrically \(\Delta\)-normed operator ideals which are interpolation spaces between Schatten-von Neumann ideals,
On interpolation of some quasi-Banach spaces,
Existence of complemented subspaces isomorphic to \(l^{q}\) in quasi Banach interpolation spaces,
Isomorphic copies in the lattice \(E\) and its symmetrization \(E^{(*)}\) with applications to Orlicz-Lorentz spaces,
Quasi-Banach spaces which are unique predual,
A remark on weakly convex continuous mappings in topological linear spaces,
Trace-class operators and commutators,
Every frame is a sum of three (but not two) orthonormal bases -- and other frame representations,
On perfectly homogeneous bases in quasi-Banach spaces,
Operator \(\theta\)-Hölder functions,
Remarks on common hypercyclic vectors,
The basic sequence problem for quasi-normed spaces,
On \(L_1\)-embeddability of unions of \(L_1\)-embeddable metric spaces and of twisted unions of hypercubes,
Nonlinear analysis by applying best approximation method in \(p\)-vector spaces,
The Banach envelopes of Besov and Triebel-Lizorkin spaces and applications to partial differential equations,
On the permutative equivalence of squares of unconditional bases,
Potential theory on Lipschitz domains in Riemannian manifolds: Sobolev-Besov space results and the Poisson problem,
On the stability of orthogonally Jensen additive and quadratic functional equation,
Vector-valued invariant means revisited,
The Kakutani fixed point theorem for Roberts spaces,
Ulam stability of a quadratic-type functional equation in 3 variables in the quasi-Banach space,
The singular case in the stability of additive functions,
The topological product structure of systems of Lebesgue spaces,
Banach envelopes of vector valued \(H^p\) spaces,
Improvements on the stability of Euler-Lagrange type cubic maps in quasi-Banach spaces,
Points of monotonicity in \(F\)-normed Orlicz function spaces,
Ring derivations of Murray-von Neumann algebras,
Nonlinear analysis in \(p\)-vector spaces for single-valued 1-set contractive mappings,
Large structures within the class of summing operators,
MULTIPLIERS AND CHARACTERIZATION OF THE DUAL OF NEVANLINNA-TYPE SPACES,
Extension of semi-Lipschitz maps on non-subadditive quasi-metric spaces: new tools for Artificial Intelligence,
Boundedness of maximal function for weighted Choquet integrals,
BMO with respect to Banach function spaces,
Banach function spaces done right,
Regularization for Wasserstein distributionally robust optimization,
Arazy-Cwikel and Calderón-Mityagin type properties of the couples \((\ell^p, \ell^q)\), \(0 \leq p<q \leq \infty\),
The reconstruction theorem in quasinormed spaces,
Characterization of \(p\)-Banach spaces based on a reverse triangle inequality,
On subspaces of spaces \(C_p(X)\) isomorphic to spaces \(c_0\) and \(\ell_q\) with the topology induced from \(\mathbb{R}^{\mathbb{N}}\),
Equivalent quasi-norms on generalized Orlicz spaces,
Operators taking values into Köthe-Bochner spaces,
Unnamed Item