Operator and function spaces which are K-analytic
Canela, Miguel A. (1983-1984)
Portugaliae mathematica
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Canela, Miguel A. (1983-1984)
Portugaliae mathematica
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Sophocles Mercourakis, E. Stamati (2006)
Commentationes Mathematicae Universitatis Carolinae
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In this paper we define and investigate a new subclass of those Banach spaces which are -analytic in their weak topology; we call them strongly weakly -analytic (SWKA) Banach spaces. The class of SWKA Banach spaces extends the known class of strongly weakly compactly generated (SWCG) Banach spaces (and their subspaces) and it is related to that in the same way as the familiar classes of weakly -analytic (WKA) and weakly compactly generated (WCG) Banach spaces are related. We show...
J. Kakol, M. López Pellicer (2009)
RACSAM
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Richard Aron, Pablo Galindo, Mikael Lindström (1997)
Studia Mathematica
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We prove that every weakly compact multiplicative linear continuous map from into is compact. We also give an example which shows that this is not generally true for uniform algebras. Finally, we characterize the spectra of compact composition operators acting on the uniform algebra , where is the open unit ball of an infinite-dimensional Banach space E.
M. Valdivia (1989)
Studia Mathematica
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E. Ligocka (1973)
Studia Mathematica
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