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A Note on M-Ideals of Compact operators

Published online by Cambridge University Press:  20 November 2018

Chong-Man Cho
Chong-Man Cho*
Affiliation:
Department of Mathematics College of Natural Science Hanyang University Seoul 133-791, Korea
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Abstract

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Suppose X and Y are closed subspaces of (ΣXn)p and (ΣYn)q (1 < p ≦ q < ∞, dim Xn < ∞, dimYn < ∞), respectively. If K(X, Y), the space of the compact linear operators from X to Y, is dense in L(X, Y), the space of the bounded linear operators from X to Y, in the strong operator topology, then K(X, Y) is an M-ideal in L(X, Y).

Keywords

46A3247B0547B0541A50Compact operatorsM-idealfinite dimensional decompositionstrong operator topologycompact approximation property
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 32 , Issue 4 , 01 December 1989 , pp. 434 - 440
Copyright
Copyright © Canadian Mathematical Society 1989

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