Ideals of finite rank operators, intersection properties of balls, and the approximation property

Åsvald Lima; Eve Oja

The search session has expired. Please query the service again.

Displaying similar documents to “Ideals of finite rank operators, intersection properties of balls, and the approximation property”

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

Eve Oja, Märt Põldvere (1996)

Studia Mathematica

Similarity:

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...

Norm attaining operators

Jerry Johnson, John Wolfe (1979)

Studia Mathematica

Similarity:

On operators factorizable through $L_{p}$ space

Stanislaw Kwapien (1972)

Mémoires de la Société Mathématique de France

Similarity:

On complementably universal Banach spaces

M. Kadec (1971)

Studia Mathematica

Similarity:

Containing l or c and best approximation.

Juan Carlos Cabello Piñar (1990)

Collectanea Mathematica

Similarity:

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.

Dimensional gradations and cogradations of operator ideals. The weak distance between Banach-spaces

N. Tomczak-Jaegermann (1980-1981)

Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")

Similarity:

Factoring Rosenthal operators.

Teresa Alvarez (1988)

Publicacions Matemàtiques

Similarity:

In this paper we show that a Rosenthal operator factors through a Banach space containing no isomorphs of l.

Lucid operators on Banach spaces

Peter Kissel, Eberhard Schock (1990)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

Spaces of compact operators which are $M$ -ideals in $L (X, Y)$ .

Cho, Chong-Man (1992)

International Journal of Mathematics and Mathematical Sciences

Similarity: