Eigenvalue distribution of integral operators defined by Besov-Orlicz kernels.
Eigenvalue distribution of integral operators defined by Orlicz kernels.
Embedding a topological group into its WAP-compactification
We prove that the topology of the additive group of the Banach space c₀ is not induced by weakly almost periodic functions or, what is the same, that this group cannot be represented as a group of isometries of a reflexive Banach space. We show, in contrast, that additive groups of Schwartz locally convex spaces are always representable as groups of isometries on some reflexive Banach space.
Embedding l∞N-cubes in finite-dimensional 1-subsymmetric spaces.
Ensembles de Sidon et espaces de cotype 2
Entropy and n-widths of operators in Banach spaces
Equilateral, diametral, centered sets and subsets of spheres.
Equilateral sets in Banach spaces of the form C(K)
We show that for "most" compact nonmetrizable spaces, the unit ball of the Banach space C(K) contains an uncountable 2-equilateral set. We also give examples of compact nonmetrizable spaces K such that the minimum cardinality of a maximal equilateral set in C(K) is countable.
Equivalence of some geometric and related results of nonlinear functional analysis
Equivalence of the properties () and (NUC) in Orlicz spaces
We obtain the equivalence of the properties and (NUC) in Orlicz function spaces. This answers a question raised by Y. Cui, R. Pluciennik and T. Wang.
Equivalent norms on separable Asplund spaces
Errata to the paper "Banach-Saks property in some Banach sequence spaces" (Ann. Polon. Math. 65 (1997), 193-202)
Erratum to "On the Facial Structure of the Unit Ball of a GM-Space", Math. Z. 193, 597-611 (1986).
Erratum to the paper "Smooth points of Musielak-Orlicz sequence spaces equipped with the Luxemburg norm" (Colloq. Math. 65 (1993), 157-164)
Essential supremum norm differentiability.
Estimates for Kottman's separation constant in reflexive Banach spaces
In reflexive Banach spaces with some degree of uniform convexity, we obtain estimates for Kottman's separation constant in terms of the corresponding modulus.
Estimates for projections in Banach spaces and existence of direct complements
Let W and L be complementary subspaces of a Banach space X and let P(W,L) denote the projection on W along L. We obtain a sufficient condition for a subspace M of X to be complementary to W and we derive estimates for the norm of P(W,L) - P(W,M).
Estimates on inner and outer radii of unit balls in normed spaces
The purpose of this paper is to continue the investigations on extremal values for inner and outer radii of the unit ball of a finite-dimensional real Banach space for the Holmes-Thompson and Busemann measures. Furthermore, we give a related new characterization of ellipsoids in via codimensional cross-section measures.
Estimation of the Szlenk index of Banach spaces via Schreier spaces
For each ordinal α < ω₁, we prove the existence of a Banach space with a basis and Szlenk index which is universal for the class of separable Banach spaces with Szlenk index not exceeding . Our proof involves developing a characterization of which Banach spaces embed into spaces with an FDD with upper Schreier space estimates.
Estimations des distances à un espace euclidien et des constantes de projection des espaces de Banach de dimension finie ; d'après H. König et al.