EuDML | Browse

The equivalence of the two following properties is proved for every Banach lattice $E$ :1) $E$ is weakly sequentially complete.2) Every $σ (E^{*}, E)$ -Borel measurable linear functional on $E$ is $σ (E^{*}, E)$ -continuous.

A class of precompact sets in Banach spaces.

Manuel Valdivia (1975)

Journal für die reine und angewandte Mathematik

A counterexample to several questions about Banach spaces

James Halger (1977)

Studia Mathematica

A function space C(X) which is weakly Lindelöf but not weakly compactly generated

Roman Pol (1979)

Studia Mathematica

A generalization of reflexive Banach spaces and weakly compact operators

Joe Howard (1972)

Commentationes Mathematicae Universitatis Carolinae

A geometric form of the axiom of choice

J. Bell, David Fremlin (1972)

Fundamenta Mathematicae

A Hahn-Banach extension theorem for analytic mappings

Richard M. Aron, Paul D. Berner (1978)

Bulletin de la Société Mathématique de France

A Hahn-Banach Theorem in Conjugate Banach Spaces.

Bernd Müller (1977)

Mathematische Zeitschrift

A new proof of James' sup theorem.

Marianne Morillon (2005)

Extracta Mathematicae

We provide a new proof of James' sup theorem for (non necessarily separable) Banach spaces. One of the ingredients is the following generalization of a theorem of Hagler and Johnson: "If a normed space E does not contain any asymptotically isometric copy of l1, then every bounded sequence of E' has a normalized l1-block sequence pointwise converging to 0".

A note on Banach spaces and sub differentials of convex functions

Josef Kolomý (1992)

Acta Universitatis Carolinae. Mathematica et Physica

A note on Banach spaces with $ℓ^{1}$ -saturated duals

Denny H. Leung (1996)

Commentationes Mathematicae Universitatis Carolinae

It is shown that there exists a Banach space with an unconditional basis which is not $c_{0}$ -saturated, but whose dual is $ℓ^{1}$ -saturated.

A note on complex $L_{1}$ -predual spaces.

Das, Mrinal Kanti (1990)

International Journal of Mathematics and Mathematical Sciences

A note on dual Banach spaces.

Sten Kaijser (1977)

Mathematica Scandinavica

A note on strong differentiability spaces

Kamil John, Václav Zizler (1976)

Commentationes Mathematicae Universitatis Carolinae

A note on the predual of Lip(S, d)

J. A. Johnson (1979)

Colloquium Mathematicae

A notion of Orlicz spaces for vector valued functions

Gudrun Schappacher (2005)

Applications of Mathematics

The notion of the Orlicz space is generalized to spaces of Banach-space valued functions. A well-known generalization is based on $N$ -functions of a real variable. We consider a more general setting based on spaces generated by convex functions defined on a Banach space. We investigate structural properties of these spaces, such as the role of the delta-growth conditions, separability, the closure of $ℒ^{\infty}$ , and representations of the dual space.

Currently displaying 1 – 20 of 336

Page 1 Next