Interchangeability of unbounded linear operators: General theory of transmutativity
Miroslav Sova (1982)
Časopis pro pěstování matematiky
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Miroslav Sova (1982)
Časopis pro pěstování matematiky
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Fernando Cobos, Luz M. Fernández-Cabrera, Antón Martínez (2005)
Studia Mathematica
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The paper establishes necessary and sufficient conditions for compactness of operators acting between general K-spaces, general J-spaces and operators acting from a J-space into a K-space. Applications to interpolation of compact operators are also given.
Miroslav Sova (1988)
Časopis pro pěstování matematiky
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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).
Charles W. Swartz (1975)
Czechoslovak Mathematical Journal
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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.