A NOTE ON CERTAIN QUOTIENT SPACES OF BOUNDED LINEAR OPERATORS

- Journal title : Communications of the Korean Mathematical Society
- Volume 19, Issue 4, 2004, pp.715-720
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/CKMS.2004.19.4.715

Title & Authors

A NOTE ON CERTAIN QUOTIENT SPACES OF BOUNDED LINEAR OPERATORS

Cho, Chong-Man; Ju, Seong-Jin;

Cho, Chong-Man; Ju, Seong-Jin;

Abstract

Suppose X is a closed subspace of Z = (1 < p < , dim < ). We investigate an isometrically isomorphic embedding of L(X)/K(X) into L(X, Z)/K(X, Z), where L(X, Z) (resp. L(X)) is the space of the bounded linear operators from X to Z (resp. from X to X) and K(X, Z) (resp. K(X)) is the space of the compact linear operators from X to Z (resp. from X to X).

Keywords

bounded linear operator;compact operator;quotient space;-sum;

Language

English

References

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