Displaying similar documents to “On Grothendieck space ideals”

A note on embedding into product spaces

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 E , thus achieving a unified treatment of several embedding theorems involving certain classes of locally convex spaces.

On the space of φ-nuclear operators on l.

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.