Banach spaces of compact operators
Charles E. Cleaver (1972)
Colloquium Mathematicae
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Charles E. Cleaver (1972)
Colloquium Mathematicae
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Vladimir M. Kadets, Roman V. Shvidkoy, Dirk Werner (2001)
Studia Mathematica
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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).
Andreas Defant, Mieczysław Mastyło (2003)
Studia Mathematica
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The Banach operator ideal of (q,2)-summing operators plays a fundamental role within the theory of s-number and eigenvalue distribution of Riesz operators in Banach spaces. A key result in this context is a composition formula for such operators due to H. König, J. R. Retherford and N. Tomczak-Jaegermann. Based on abstract interpolation theory, we prove a variant of this result for (E,2)-summing operators, E a symmetric Banach sequence space.
Teresa Alvarez (1988)
Publicacions Matemàtiques
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In this paper we show that a Rosenthal operator factors through a Banach space containing no isomorphs of l.
Miroslav Sova (1982)
Časopis pro pěstování matematiky
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Vladimír Lovicar (1975)
Časopis pro pěstování matematiky
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Francisco Javier García-Pacheco, Daniele Puglisi (2010)
Studia Mathematica
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This article is divided into two parts. The first one is on the linear structure of the set of norm-attaining functionals on a Banach space. We prove that every Banach space that admits an infinite-dimensional separable quotient can be equivalently renormed so that the set of norm-attaining functionals contains an infinite-dimensional vector subspace. This partially solves a question proposed by Aron and Gurariy. The second part is on the linear structure of dominated operators. We show...
Gajek, L., Jachymski, J., Zagrodny, D. (1995)
Journal of Applied Analysis
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S.C. Arora, Ramesh Kumar (1981)
Publications de l'Institut Mathématique
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