scientific article

Publication date: 1984

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

unconditionally convergent series Orlicz-Pettis theorem Weak convergence Ramsey's theorem uniformly convex spaces Josefson-Nissenzweig theorem Grothendieck's inequality compactness in Banach spaces Eberlein-Šmulian theorem Banach spaces with weak*- sequentially compact dual balls Bessaga-Pelczynski selection principle Dvoretsky-Rogers theorem Elton-Odell $(1+\epsilon)$-separation theorem Rottman's separation theorem

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Classical Banach spaces in the general theory (46B25) Research exposition (monographs, survey articles) pertaining to functional analysis (46-02) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

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On composition operators of Fibonacci matrix and applications of Hausdorff measure of noncompactness ⋮ On almost limited $p$-convergent operators on Banach lattices ⋮ Hilbert C∗-Module for Analyzing Structured Data ⋮ The Daugavet equation for polynomials on $\mathrm{C}^\ast$-algebras and $\mathrm{JB}^\ast$-triples ⋮ On vector measures with values in $\ell_\infty $ ⋮ Causal variational principles in the infinite-dimensional setting: existence of minimizers ⋮ Trigonometric and Rademacher measures of nowhere finite variation ⋮ Duality for spaces of polynomials on tree spaces ⋮ Unnamed Item ⋮ A note on asymptotically isometric copies of $l^1$ and $c_0$ ⋮ $C^1$ smoothness of Liouville arcs in Arnol’d tongues ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Conditional weak compactness in vector-valued function spaces ⋮ Sequentially Right Banach spaces of order $p$ ⋮ True preimages of compact or separable sets for functional analysts ⋮ ON A THEOREM OF KWAPIEŃ ⋮ Dunford–Pettis sets ⋮ Linearization of Bounded Holomorphic Mappings on Banach Spaces ⋮ On integration in Banach spaces. X: Integration with respect to polymeasures ⋮ The Vitali-Hahn-Saks Theorem and Measuroids ⋮ Burkholder’s inequalities in noncommutative Lorentz spaces ⋮ The range of operators on von Neumann algebras ⋮ On the continuity of biconjugate convex functions ⋮ Completely Continuous Composition Operators ⋮ Pták’s characterization of reflexivity in tensor products ⋮ Cluster values of holomorphic functions of bounded type ⋮ On Corson compacta and embeddings of 𝐶(𝐾) spaces ⋮ A Uniform Algebra of Analytic Functions on a Banach Space ⋮ Normal Structure in Dual Banach Spaces Associated With a Locally Compact Group ⋮ w*-Basic Sequences and Reflexivity of Banach Spaces ⋮ Characterizations of Tauberian Operators and Other Semigroups of Operators ⋮ Embedding c0 in bvca(Σ, X) ⋮ On Denjoy type extensions of the Pettis integral ⋮ The Complete Continuity Property in Bochner Function Spaces ⋮ The distance $dist (\mathcal{B},X)$ when $\mathcal{B}$ is a boundary of $B(X^{**})$ ⋮ Vector measures and the strong operator topology ⋮ Multiplier Sequence Spaces Defined by Statistical Summability and Orlicz-Pettis Theorem ⋮ A Note on Separable Banach Spaces with Nonseparable Dual ⋮ A Note on Separable Banach Spaces with Nonseparable Dual ⋮ Vector-valued general Dirichlet series ⋮ Weak Banach-Saks property and Komlós’ theorem for preduals of JBW*-triples ⋮ Operators with an integral reprsentation ⋮ Constructing separated sequences in Banach spaces ⋮ Convergence of Polynomial Level Sets ⋮ The non-commutative Yosida-Hewitt decomposition revisited ⋮ On the density of Banach spaces 𝐶(𝐾) with the Grothendieck property ⋮ Equilateral sets in infinite dimensional Banach spaces ⋮ On families of subsets of natural numbers deciding the norm convergence in $\ell _1$ ⋮ Banach spaces with weak*-sequential dual ball ⋮ Linear subsets of nonlinear sets in topological vector spaces ⋮ WEAK and NORM COMPACTNESS ON KÖTHE-BOCHNER FUNCTION SPACES ⋮ On Saab's characterizations of weak Radon-Nikodym sets ⋮ From weak to strong convergence in $L_ 1$-spaces via $K$-convergence ⋮ Unconditional Toeplitz sections in sequence spaces ⋮ Scott Brown's techniques for perturbations of decomposable operators ⋮ A Fritz John optimality condition using the approximate subdifferential ⋮ Weak compactness in the space of vector-valued measures of bounded variation ⋮ Factorization of holomorphic mappings in infinite dimensions ⋮ Further arguments for slice convergence in nonreflexive spaces ⋮ Irreducible domains in Banach spaces ⋮ On Banach spaces with the Gelfand-Phillips property ⋮ Reflexivity in Banach lattices ⋮ Smooth points and strictly extreme points in subspaces ⋮ Topologies and bornologies determined by operator ideals ⋮ The Lagrange approach to infinite linear programs ⋮ The fixed point property for subsets of some classical Banach spaces ⋮ Properties of Banach spaces, stable and unstable relative to the gap ⋮ Unconditionally convergent series of operators on Banach spaces ⋮ Über die Existenz gemeinsamer Elemente bester Approximation bezüglich zweier Normen. II. (On the existence of best approximation elements, simultaneously with respect to two norms. II) ⋮ Subspaces of Asplund Banach spaces with the point continuity property ⋮ Local geometry of $L^ 1\cap L^ \infty$ and $L^ 1+L^ \infty$ ⋮ Webs and bounded finitely additive measures ⋮ On convergence on the boundary of the unit ball in dual space ⋮ $JB^*$-triples have Pełczynski's property V ⋮ Geometry of Banach spaces with $(\alpha,\epsilon)$-property or $(\beta,\epsilon)$-property ⋮ Universal non-completely-continuous operators ⋮ Linear structure of hypercyclic vectors ⋮ On a new geometric property for Banach spaces ⋮ Nonparametric maximum likelihood estimation in a non locally compact setting ⋮ Interpolation of states by vector states on certain operator algebras ⋮ Arens-regularity of Banach algebras and the geometry of Banach spaces ⋮ A new type of sets of uniqueness ⋮ On the Banach spaces with the property $(V^*)$ of Pelczynski ⋮ Minimax games for stochastic systems subject to relative entropy uncertainty: applications to SDEs on Hilbert spaces ⋮ Examples of summing, integral and nuclear operators on the space $C([0,1,X)$ with values in $C_{0}$] ⋮ Spaces of compact operators on Hilbert space with the fixed point property ⋮ The Pettis integral for multi-valued functions via single-valued ones ⋮ Complemented copies of $l_ 1$ in $L^\infty(\mu,X)$ ⋮ Perturbation of $\ell_1$-copies in preduals of $\operatorname{JBW}^\ast$-triples ⋮ A Kadec-Pelczyński dichotomy-type theorem for preduals of JBW$^\ast$-algebras ⋮ On the SWCG property in Lebesgue-Bochner spaces ⋮ Almost square Banach spaces ⋮ Nuclear multilinear operators with respect to a Banach ideal of multilinear functionals ⋮ Abscissas of weak convergence of vector valued Dirichlet series ⋮ Polynomial sequential continuity on $C(K,E)$ spaces ⋮ On generalized García-Falset coefficient in Musielak-Orlicz sequence spaces ⋮ On the regularity of homomorphisms between Riesz subalgebras of $\mathcal{L}^r(X)$ ⋮ Lineability in subsets of measure and function spaces ⋮ $(I)$-envelopes of closed convex sets in Banach spaces ⋮ The approximate fixed point property in Banach and hyperbolic spaces ⋮ Centripetal operators and Koszmider spaces ⋮ Local rotundity structure of Cesàro--Orlicz sequence spaces ⋮ Obtaining fast error rates in nonconvex situations ⋮ On the adjoint of a strongly continuous semigroup ⋮ The fixed point property via dual space properties ⋮ Cesaro mean convergence of martingale differences in rearrangement invariant spaces ⋮ A bilinear version of Orlicz-Pettis theorem ⋮ Derivative and factorization of holomorphic functions ⋮ On the Banach spaces with the property $(V^*)$ of Pelczynski. II ⋮ Endogenous supply of fiat money ⋮ Operators on the space of vector-valued totally measurable functions ⋮ Asplund operators and holomorphic maps ⋮ Unconditionally converging and compact operators on $c_ 0$ ⋮ Duality in some vector-valued function spaces ⋮ Spaces on which unconditionally converging operators are weakly completely continuous ⋮ The Banach spaces $\ell _{\infty }(c_{0})$ and $c_{0}(\ell _{\infty })$ are not isomorphic ⋮ On real-valued measures of statistical type and their applications to statistical convergence ⋮ Fixed point properties of semigroups of nonexpansive mappings ⋮ The topology of pointwise, compact and weakly compact convergence on $\mathcal B(X,Y)$ ⋮ Random strict convexity and random uniform convexity in random normed modules ⋮ Fixed point properties in Hardy spaces ⋮ Banach spaces in various positions ⋮ Banach spaces with many boundedly complete basic sequences failing PCP ⋮ Complex convexity and monotonicity in quasi-Banach lattices ⋮ Erratum to: ``Strong Dunford-Pettis sets and spaces of operators ⋮ Classes of strictly singular operators and their products ⋮ Measures of weak noncompactness in Banach spaces ⋮ On the compact non-nuclear operator problem ⋮ Some summability properties of operators on a separable Banach space ⋮ $Q$-reflexive Banach spaces ⋮ Asymptotically isometric copies of $c_0$ in Banach spaces ⋮ Relatively weakly open sets in closed balls of Banach spaces, and the centralizer ⋮ Norm-attaining operators into strictly convex Banach spaces ⋮ Matrix summability methods and weakly unconditionally Cauchy series ⋮ About the properties (V) and (R. D. P.) in injective tensor products ⋮ Asymptotically isometric copies of $c_0$ and renormings of Banach spaces ⋮ Observations about equicontinuity and related concepts ⋮ Weakly sequentially continuous differentiable mappings ⋮ Some $\ell (p)$-type new sequence spaces and their geometric properties ⋮ Pontryagin reflexive groups are not determined by their continuous characters ⋮ Hereditary properties for duals of Bochner $L_p$-function-spaces ⋮ Polynomial compactness in Banach spaces ⋮ Weakly compact operators on $H^{\infty}$ ⋮ The Littlewood-Orlicz operator ideal ⋮ An abstract form of a theorem of Helson and applications to sets of synthesis and sets of uniqueness ⋮ The metric approximation property, norm-one projections and intersection properties of balls ⋮ Complete controllability of spectrum assignment in infinite dimensional spaces ⋮ Representations of $H^ \infty(G)$ and invariant subspaces ⋮ Weak compactness in the dual of a $C^*$-algebra is determined commutatively ⋮ On Rosenthal's $\ell^ 1$-theorem ⋮ Spectra of algebras of holomorphic functions on infinite dimensional Riemann domains ⋮ Compact range property and operators on $\boldsymbol C^{\boldsymbol *}$-algebras ⋮ STRONGLY SEQUENTIALLY CONTINUOUS FUNCTIONS ⋮ TOPOLOGIES ON THE SET OF ALL SUBSPACES OF A BANACH SPACE AND RELATED QUESTIONS OF BANACH SPACE GEOMETRY ⋮ ON EQUIVALENCE RELATIONS GENERATED BY SCHAUDER BASES ⋮ Every nonreflexive subspace of $L_1[0,1$ fails the fixed point property] ⋮ Pelczynski’s property (V*) for symmetric operator spaces ⋮ Polynomial continuity on $\ell _1$ ⋮ Some convergence theorems for multipliers on commutative Banach algebras ⋮ Strict and Mackey topologies and tight vector measures ⋮ Vector subdifferentials via recession mappings^∗^∗this research was supported by grants from M.U.R.S.T (Itall) and the australian research council.$ef: ⋮ Locally convex spaces and Schur type properties ⋮ Asymptotic normal structure and the semi-opial property ⋮ Nonsmooth differential geometry– An approach tailored for spaces with Ricci curvature bounded from below ⋮ Disjointly Homogeneous Banach Lattices and Applications ⋮ On decompositions of Banach spaces of continuous functions on Mrówka’s spaces ⋮ Complemented spaces of operators ⋮ Unnamed Item ⋮ A property of Dunford-Pettis type in topological groups ⋮ Weak and Strong Density of Compositions ⋮ Unnamed Item ⋮ Lipschitz functions with maximal Clarke subdifferentials are generic ⋮ Finite representability of operators in the sense of Bellenot ⋮ Asymptotically isometric copies of ℓ^{∞} in Banach spaces and a theorem of Bessaga and Pelczynski ⋮ Spectral theory and hypercyclic subspaces ⋮ Compact sets of compact operators in absence of $l^{1}$