Decomposable subspaces of Banach spaces.

Manuel González; Antonio Martinón

Displaying similar documents to “Decomposable subspaces of Banach spaces.”

Containing l or c and best approximation.

Juan Carlos Cabello Piñar (1990)

Collectanea Mathematica

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The purpose of this paper is to obtain sufficient conditions, for a Banach space X to contain or exclude c0 or l1, in terms of the sets of best approximants in X for the elements in the bidual space.

Operators with extension property and the principle of local reflexivity

F. Oertel (1996)

Acta Universitatis Carolinae. Mathematica et Physica

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On subspaces of Banach spaces where every functional has a unique norm-preserving extension

Eve Oja, Märt Põldvere (1996)

Studia Mathematica

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Let X be a Banach space and Y a closed subspace. We obtain simple geometric characterizations of Phelps' property U for Y in X (that every continuous linear functional g ∈ Y* has a unique norm-preserving extension f ∈ X*), which do not use the dual space X*. This enables us to give an intrinsic geometric characterization of preduals of strictly convex spaces close to the Beauzamy-Maurey-Lima-Uttersrud criterion of smoothness. This also enables us to prove that the U-property of the subspace...

Unconditional ideals of finite rank operators

Trond A. Abrahamsen, Asvald Lima, Vegard Lima (2008)

Czechoslovak Mathematical Journal

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Let $X$ be a Banach space. We give characterizations of when $ℱ (Y, X)$ is a $u$ -ideal in $𝒲 (Y, X)$ for every Banach space $Y$ in terms of nets of finite rank operators approximating weakly compact operators. Similar characterizations are given for the cases when $ℱ (X, Y)$ is a $u$ -ideal in $𝒲 (X, Y)$ for every Banach space $Y$ , when $ℱ (Y, X)$ is a $u$ -ideal in $𝒲 (Y, X^{* *})$ for every Banach space $Y$ , and when $ℱ (Y, X)$ is a $u$ -ideal in $𝒦 (Y, X^{* *})$ for every Banach space $Y$ .

The space of compact operators as an M-ideal in its bidual.

T. S. S. R. K. Rao (1992)

Extracta Mathematicae

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