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Compact well-bounded operators
Published online by Cambridge University Press: 25 July 2002
Extract
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.
- Type
- Research Article
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- Copyright
- 2001 Glasgow Mathematical Journal Trust