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A purely analytic criterion for a decomposable operator

Published online by Cambridge University Press:  18 May 2009

Ridgley Lange
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.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 21 , Issue 1 , January 1980 , pp. 69 - 70
Copyright
Copyright © Glasgow Mathematical Journal Trust 1980

References

REFERENCES

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