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QUASINILPOTENT OPERATORS AND THE INVARIANT SUBSPACE PROBLEM

Published online by Cambridge University Press:  01 December 1997

C. J. READ
C. J. READ
Affiliation:
Trinity College, Cambridge CB2 1TQ. E-mail: [email protected]
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Abstract

In this paper we construct quasinilpotent operators without nontrivial invariant subspaces. As well as being interesting in its own right, we believe that this is a sensible (perhaps necessary) first step for addressing the difficult problem of constructing topologically simple Banach algebras.

Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 56 , Issue 3 , December 1997 , pp. 595 - 606
Copyright
The London Mathematical Society 1997

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