Journal of the Ramanujan Mathematical Society

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Operators Compatible with A Chain of Subspaces of a Banach Space


Affiliations
1 Department of Mathematics, University of Toronto, Toronto, M5S 3G3, Canada
2 School of Mathematics, Institute for Studies in Theoretical Physics and Mathematics, P. O. Box 19395-5746, Tehran, Iran, Islamic Republic of
     

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A compact (in fact, nuclear) operator is constructed which is compatible with a given chain of closed subspaces of a separable Banach space, in the strong sense that it takes each of the subspaces onto a dense subspace of itself, and is injective modulo that subspace.
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  • Operators Compatible with A Chain of Subspaces of a Banach Space

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Authors

George A. Elliott
Department of Mathematics, University of Toronto, Toronto, M5S 3G3, Canada
Bamdad R. Yahaghi
School of Mathematics, Institute for Studies in Theoretical Physics and Mathematics, P. O. Box 19395-5746, Tehran, Iran, Islamic Republic of

Abstract


A compact (in fact, nuclear) operator is constructed which is compatible with a given chain of closed subspaces of a separable Banach space, in the strong sense that it takes each of the subspaces onto a dense subspace of itself, and is injective modulo that subspace.