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Currently displaying 1 – 13 of 13

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M-structure in tensor products of Banach spaces.

Dirk Werner — 1987

Mathematica Scandinavica

A proof of the Markov-Kakutani fixed point theorem via the Hahn-Banach theorem.

Dirk Werner — 1993

Extracta Mathematicae

On the M-structure of the operator space L(CK)

Dirk Werner; Wend Werner — 1987

Studia Mathematica

Lipschitz spaces and M-ideals.

Heiko Berninger; Dirk Werner — 2003

Extracta Mathematicae

$M$ -ideals of compact operators into $ℓ_{p}$

Kamil John; Dirk Werner — 2000

Czechoslovak Mathematical Journal

We show for $2 \leq p < \infty$ and subspaces $X$ of quotients of $L_{p}$ with a $1$ -unconditional finite-dimensional Schauder decomposition that $K (X, ℓ_{p})$ is an $M$ -ideal in $L (X, ℓ_{p})$ .

Structural properties of operator spaces

Wolfgang Ruess; Dirk Werner — 1987

Acta Universitatis Carolinae. Mathematica et Physica

Property (M), M-ideals, and almost isometric structure of Banach spaces.

Dirk Werner; Nigel J. Kalton — 1995

Journal für die reine und angewandte Mathematik

Remarks on rich subspaces of Banach spaces

Vladimir Kadets; Nigel Kalton; Dirk Werner — 2003

Studia Mathematica

We investigate rich subspaces of L₁ and deduce an interpolation property of Sidon sets. We also present examples of rich separable subspaces of nonseparable Banach spaces and we study the Daugavet property of tensor products.

Quotients of Banach Spaces with the Daugavet Property

Vladimir Kadets; Varvara Shepelska; Dirk Werner — 2008

Bulletin of the Polish Academy of Sciences. Mathematics

We consider a general concept of Daugavet property with respect to a norming subspace. This concept covers both the usual Daugavet property and its weak* analogue. We introduce and study analogues of narrow operators and rich subspaces in this general setting and apply the results to show that a quotient of L₁[0,1] by an ℓ₁-subspace need not have the Daugavet property. The latter answers in the negative a question posed to us by A. Pełczyński.

Extreme points in spaces of operators and vector – valued measures

Werner, Dirk — 1984

Proceedings of the 12th Winter School on Abstract Analysis

Narrow operators and rich subspaces of Banach spaces with the Daugavet property

Vladimir M. Kadets; Roman V. Shvidkoy; Dirk Werner — 2001

Studia Mathematica

Let X be a Banach space. We introduce a formal approach which seems to be useful in the study of those properties of operators on X which depend only on the norms of the images of elements. This approach is applied to the Daugavet equation for norms of operators; in particular we develop a general theory of narrow operators and rich subspaces of spaces X with the Daugavet property previously studied in the context of the classical spaces C(K) and L₁(μ).