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19th International Conference on Operator Theory
June 27 - July 2, 2002
Institute of Mathematics of the Romanian Academy and the Faculty of Mathematics of the West University of Timisoara
Timisoara, Romania

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On the distance between an operator and an operator ideal
by
Nicolae Tita
Transilvania University of Brasov, Romania

Let L(X) be the algebra of all linear and bounded operators T : X --> X, where X is a Banach space. If I(X) is an operator ideal, we consider the distance d(T, I(X)), where T in L(X). Some properties of this distance are presented, especially the expression of the distance d(T1 \otimesT2), I(X \otimes\alpha X)) is computed and applied.

Date received: June 10, 2002

Copyright © 2002 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caiz-61.