On operators factorizable through space
Stanislaw Kwapien (1972)
Mémoires de la Société Mathématique de France
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Stanislaw Kwapien (1972)
Mémoires de la Société Mathématique de France
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F. Oertel (1996)
Acta Universitatis Carolinae. Mathematica et Physica
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F. Oertel (1992)
Acta Universitatis Carolinae. Mathematica et Physica
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Åsvald Lima, Eve Oja (1999)
Studia Mathematica
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We characterize the approximation property of Banach spaces and their dual spaces by the position of finite rank operators in the space of compact operators. In particular, we show that a Banach space E has the approximation property if and only if for all closed subspaces F of , the space ℱ(F,E) of finite rank operators from F to E has the n-intersection property in the corresponding space K(F,E) of compact operators for all n, or equivalently, ℱ(F,E) is an ideal in K(F,E). ...
F. Oertel (1995)
Acta Universitatis Carolinae. Mathematica et Physica
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