scientific article
From MaRDI portal
Publication:3920145
zbMath0467.46020MaRDI QIDQ3920145
Publication date: 1981
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Schauder decompositionsminimal sequencestransfinite basessemi-basesBanach spaces without the approximation propertybibasic systemsextended approximative basesordinal resolutions of the identitypseudo-basesseries summable basesshrinking extended M-basesstrongly unconditional integral basestransfinite Schauder decompositionsunconditional convergence of biorthogonal expansions
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)
Related Items (only showing first 100 items - show all)
On certain classes of Markushevich bases ⋮ Radon-Nikodym derivatives of finitely additive interval measures taking values in a Banach space with basis ⋮ Scott Brown's techniques for perturbations of decomposable operators ⋮ Bases and complements in nonseparable Banach spaces ⋮ Bases and complements in nonseparable Banach spaces. II ⋮ A remark on two cones ⋮ Holomorphic Approximation in Banach Spaces: A Survey ⋮ A Lagrange matrices approach to confluent Cauchy matrices ⋮ Large deviation principle for stochastic integrals and stochastic differential equations driven by infinite-dimensional semimartingales ⋮ A note on holomorphic approximation in Banach spaces ⋮ Homological properties of the algebra of compact operators on a Banach space ⋮ A Banach space without a basis which has the bounded approximation property ⋮ A twisted Fréchet space with basis ⋮ On weak and Schauder \({\mathcal F}\)-bases in topological vector spaces ⋮ Lifting bounded approximation properties from Banach spaces to their dual spaces ⋮ A natural representation for the operator algebra \(\text{Alg Lat } T\) ⋮ Invariant subspaces for subscalar operators ⋮ Sistemi biortogonali negli spazi di Banach ⋮ Some parameters of Banach spaces ⋮ THE HAHN-BANACH EXTENSION PROPERTY IN A CLASS OF NORMED SPACES ⋮ Resolving and strictly resolving regularizers ⋮ Approximation of weak solutions of the Laplace equation by harmonic polynomials ⋮ On the Banach spaces with the property \((V^*)\) of Pelczynski ⋮ A reflexivity criterion ⋮ Large sublattices in subsets of Banach lattices ⋮ Boundedness of biorthogonal systems in Banach spaces ⋮ A note on latticeability and algebrability ⋮ Isomorphic Schauder decompositions in certain Banach spaces ⋮ On frame properties of iterates of a multiplication operator ⋮ Operator ranges and endomorphisms with a prescribed behaviour on Banach spaces ⋮ Diametrically complete sets with empty interior and constant width sets with empty interior ⋮ Biorthogonal systems and quotient spaces via Baire category methods ⋮ On the multiplicative completion of centered systems. ⋮ A basis of weighted exponentials ⋮ On generalized approximative properties of systems ⋮ Perturbations of \(\omega\)-linearly independent systems in a Banach space, containing its square ⋮ Infinitely many solutions of Dirichlet problem for \(p\)-mean curvature operator ⋮ Bases with individual brackets and bases with individual rearrangements ⋮ Lebesgue inequalities for Chebyshev thresholding greedy algorithms ⋮ Extracting long basic sequences from systems of dispersed vectors ⋮ A geometrical characterization of Schauder basis ⋮ Principle of local reflexivity respecting subspaces ⋮ ON NEAR EXACT BANACH FRAMES IN BANACH SPACES ⋮ Invariant subspaces for operators with Bishop's property \((\beta{})\) and thick spectrum ⋮ On Markuševič decompositions of Banach spaces ⋮ Weak compactness, transfinite Schauder bases and differentiability ⋮ Some remarks on operator ranges ⋮ Extensions of operator bases in Banach spaces ⋮ Approximation of holomorphic functions of infinitely many variables. II. ⋮ Dunford–Pettis sets ⋮ On the existence of overcomplete sets in some classical nonseparable Banach spaces ⋮ An Asplund space with norming Markuševič basis that is not weakly compactly generated ⋮ Renorming in the space of Bochner integrable functions \(L_ 1(\mu{},X)\) ⋮ The {D}irichlet problem in weighted norm ⋮ Induced and coinduced Banach Lie-Poisson spaces and integrability ⋮ Almost overcomplete and almost overtotal sequences in Banach spaces ⋮ The density of rational functions in Markov systems: A counterexample to a conjecture of D. J. Newman ⋮ Complemented copies of \(\ell _1\) in Banach spaces with an unconditional basis ⋮ On a theorem of Kalton and Wilansky concerning Tauberian operators ⋮ Invariant subspaces for sequentially subdecomposable operators ⋮ Banach frames for conjugate Banach spaces ⋮ A class of Banach spaces with few non-strictly singular operators ⋮ Frame expansions in separable Banach spaces ⋮ Generalized framing and Riesz-dual sequences in Banach spaces ⋮ A note on large deviation principles in Schauder decomposable spaces ⋮ On the Theory of Fundamental Norming Bounded Biorthogonal Systems in Banach Spaces ⋮ On the sum of a narrow and a compact operators ⋮ Characterizations of Tauberian Operators and Other Semigroups of Operators ⋮ Two classes of operators with irreducibility and the small and compact perturbations of them ⋮ An image problem for compact operators ⋮ A generalization of Drewnowski's result on the Cantor-Bernstein type theorem for a class of nonseparable Banach spaces ⋮ On the compact non-nuclear operator problem ⋮ Bibasic sequences in Banach lattices ⋮ Action of an operator with nonclosed range on orthonormal bases in a Hilbert space ⋮ Point of continuity property and Schauder bases ⋮ Strong \(M\)-decompositions in separable Banach spaces ⋮ UNCONDITIONAL CONVERGENCE IN THE STRONG OPERATOR TOPOLOGY AND ℓ∞ ⋮ A 𝑐₀-saturated Banach space with no long unconditional basic sequences ⋮ Operators related to the reconstruction property in Banach spaces ⋮ About the properties (V) and (R. D. P.) in injective tensor products ⋮ A positive answer to the basis problem ⋮ Any Banach space has an equivalent norm with trivial isometries ⋮ Unnamed Item ⋮ On restriction properties of multiplication operators ⋮ Average approximations and moments of measures ⋮ Riesz bases for \(p\)-subordinate perturbations of normal operators ⋮ On the geometry of sequences in Banach spaces ⋮ Fundamental biorthogonal systems and projection bases in Banach spaces ⋮ Projective resolutions, Markushevich bases, and equivalent norms ⋮ Some types of convergence related to the reconstruction property in Banach spaces ⋮ On a classification of sequences in Banach spaces ⋮ Weak and strong domains of sums of a series in Banach space ⋮ The fixed point property for some generalized nonexpansive mappings and renormings ⋮ On basicity of exponentials in \(L^ p(d\mu)\) and general prediction problems ⋮ The decomposition of excess demand functions on Banach spaces ⋮ Domination and equivalence of sequences of subspaces in dual spaces ⋮ Representation of the space spanned by a sequence in a Banach space ⋮ A note on Banach spaces containing \(c_ 0\) or \(C_{\infty}\) ⋮ Representations of \(H^ \infty(G)\) and invariant subspaces ⋮ Lineability of non-differentiable Pettis primitives
This page was built for publication:
