Compact well-bounded operators

C. Qingping; I. Doust

doi:10.1017/S0017089501030087

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Compact well-bounded operators

C. Qingping and I. Doust

Glasgow Mathematical Journal, Vol.43(03), pp.467-475

2001

DOI: https://doi.org/10.1017/S0017089501030087

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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.

Details

Title: Compact well-bounded operators
Authors/Creators: C. Qingping (Author/Creator)
I. Doust (Author/Creator)
Publication Details: Glasgow Mathematical Journal, Vol.43(03), pp.467-475
Publisher: Cambridge University Press
Identifiers: 991005541892507891
Murdoch Affiliation: School of Mathematical and Physical Sciences
Language: English
Resource Type: Journal article

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