PUBLICATIONS DE L'INSTITUT MATH\'EMATIQUE (BEOGRAD) (N.S.) EMIS ELibM Electronic Journals Publications de l'Institut Mathématique (Beograd)
Vol. 72(86), pp. 49-54 (2002)

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ON GAPS BETWEEN BOUNDED OPERATORS

Dragana Cvetkovi\'c

Prirodno-matemati\v cki fakultet, Ni\v s, Yugoslavia

Abstract: We consider the distance between an arbitrary bounded operator on a Banach space $X$ and the null operator. The distance is computed in terms of various gaps. Thus, we generalize the J. Faghih Habibi's result from [Linear Algebra Appl. 212-213, 501-503 (1994; Zbl 0812.05066)].

Keywords: Banach space; spherical gap; graphs of operators; gap between operators

Classification (MSC2000): 46B20; 15A60

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Electronic version published on: 23 Nov 2003. This page was last modified: 24 Nov 2003.

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