Compact well-bounded operators
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Qingping, C. and Doust, I. (2001) Compact well-bounded operators. Glasgow Mathematical Journal, 43 (03). pp. 467-475.
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Link to Published Version: http://dx.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.
| 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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