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A purely analytic criterion for a decomposable operator
Published online by Cambridge University Press: 18 May 2009
Extract
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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- Copyright © Glasgow Mathematical Journal Trust 1980
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