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Compact well-bounded operators

Qingping, C. and Doust, I. (2001) Compact well-bounded operators. Glasgow Mathematical Journal, 43 (03). pp. 467-475.

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Abstract

Every compact well-bounded operator has a representation as a linear combination of disjoint projections reminiscent of the representation of compact self-adjoint operators. In this note we show that the converse of this result holds, thus characterizing compact well-bounded operators. We also apply this result to study compact well-bounded operators on some special classes of Banach spaces such as hereditarily indecomposable spaces and certain spaces constructed by G. Pisier.

Publication Type: Journal Article
Murdoch Affiliation: School of Mathematical and Physical Sciences
Publisher: Cambridge University Press
Copyright: © 2001 Glasgow Mathematical Journal Trust.
URI: http://researchrepository.murdoch.edu.au/id/eprint/6216
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