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Displaying 21 – 34 of 34

Sous-espaces $l^{P}$ des espaces de Banach

Bernard Maurey (1982/1983)

Séminaire Bourbaki

Spaces of compact operators on $C (2^{} \times [0, α])$ spaces

Elói Medina Galego (2011)

Colloquium Mathematicae

We classify, up to isomorphism, the spaces of compact operators (E,F), where E and F are the Banach spaces of all continuous functions defined on the compact spaces $2^{} \times [0, α]$ , the topological products of Cantor cubes $2^{}$ and intervals of ordinal numbers [0,α].

Spaces of operators and c₀

P. Lewis (2001)

Studia Mathematica

Bessaga and Pełczyński showed that if c₀ embeds in the dual X* of a Banach space X, then ℓ¹ embeds complementably in X, and $ℓ^{\infty}$ embeds as a subspace of X*. In this note the Diestel-Faires theorem and techniques of Kalton are used to show that if X is an infinite-dimensional Banach space, Y is an arbitrary Banach space, and c₀ embeds in L(X,Y), then $ℓ^{\infty}$ embeds in L(X,Y), and ℓ¹ embeds complementably in $X \otimes_{γ} Y *$ . Applications to embeddings of c₀ in various spaces of operators are given.

Spectral properties of operators that characterize $ℓ_{\infty}^{(n)}$ .

Chalmers, B.L., Shekhtman, B. (1998)

Abstract and Applied Analysis

Strictly and uniformly monotone sequential Musielak-Orlicz spaces.

W. Kurc (1999)

Collectanea Mathematica

Strictly contractive projections on classical sequence spaces

Baronti, Marco (1990)

Portugaliae mathematica

Structure of Rademacher subspaces in Cesàro type spaces

Sergey V. Astashkin, Lech Maligranda (2015)

Studia Mathematica

The structure of the closed linear span of the Rademacher functions in the Cesàro space $C e s_{\infty}$ is investigated. It is shown that every infinite-dimensional subspace of either is isomorphic to l₂ and uncomplemented in $C e s_{\infty}$ , or contains a subspace isomorphic to c₀ and complemented in . The situation is rather different in the p-convexification of $C e s_{\infty}$ if 1 < p < ∞.

Subespacios de un espacio escalonado de Kothe K-isomorfos a un espacio de sucesiones.

Juan C. Díaz Alcaide (1984)

Collectanea Mathematica

Subspaces of $L^{p}$ which do not contain $L^{p}$ -isomorphically

H. P. Rosenthal (1978/1979)

Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")

Support functionals and smoothness in Musielak-Orlicz sequence spaces endowed with the Luxemburg norm

Henryk Hudzik, Yi Ning Ye (1990)

Commentationes Mathematicae Universitatis Carolinae

Support functionals in Musielak-Orlicz sequence spaces endowed with the Luxemburg norm are completely characterized. An explicit formula for regular support functionals is given. For obtaining a characterization of singular support functionals a generalized Banach limit is applied. Some necessary and sufficient conditions for smooothness of these spaces are given, too.

Currently displaying 21 – 34 of 34