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The closed graph theorem without category

Published online by Cambridge University Press:  17 April 2009

Charles Swartz
Charles Swartz
Affiliation:
Department of Mathematical Sciences, New Mexico State University, Las Cruces, New Mexico 88003, United States of America.
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Abstract

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We show that a diagonal theorem of P. Antosik can be used to give a proof of the Closed Graph Theorem for normed spaces which does not depend upon the Baire Category Theorem.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 36 , Issue 2 , October 1987 , pp. 283 - 287
Copyright
Copyright © Australian Mathematical Society 1987

References

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