On Grothendieck space ideals.
Jesús M. Fernández Castillo (1988)
Collectanea Mathematica
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Jesús M. Fernández Castillo (1988)
Collectanea Mathematica
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M. A. Sofi (2006)
Czechoslovak Mathematical Journal
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Using factorization properties of an operator ideal over a Banach space, it is shown how to embed a locally convex space from the corresponding Grothendieck space ideal into a suitable power of , thus achieving a unified treatment of several embedding theorems involving certain classes of locally convex spaces.
Pietsch, A.
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Hans Jarchow, Kamil John (1994)
Czechoslovak Mathematical Journal
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Giorgio Metafune, Vincenzo B. Moscatelli (1986)
Collectanea Mathematica
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Marilda A. Simoes (1990)
Collectanea Mathematica
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We consider the generalization Sphi of the Schatten classes Sp obtained in correspondence with opportune continuous, strictly increasing, sub-additive functions phi such that phi(0) = 0 and phi(1) = 1. The purpose of this note is to study the spaces Sphi of the phi-nuclear operators and to compare their properties to those of the by now well-known space S1 of nuclear operators.