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A purely analytic criterion for a decomposable operator

Published online by Cambridge University Press:  18 May 2009

Ridgley Lange
Affiliation:
Department of Mathematics, University of New Orleans, New Orleans, Louisiana 70122
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In [3] E. Bishop introduced the notion of an operator with a “duality theory of type 3” and gave a certain sufficient condition for an operator to have a duality theory of type 3. In this note we show that in fact Bishop's sufficient condition implies that a given operator is decomposable [4]. Moreover, this condition characterizes a decomposable operator.

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Type
Research Article
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Copyright © Glasgow Mathematical Journal Trust 1980