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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


On weak sequential completeness in biprojective tensor product spaces

Author: Leonidas N. Tsitsas
Journal: Proc. Amer. Math. Soc. 60 (1976), 119-123
MSC: Primary 46M05; Secondary 46A05
MathSciNet review: 0493405
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Abstract: In this article we are dealing with a study of the weak sequential completeness of $ E{\hat \otimes _\varepsilon }F$, the completed $ \varepsilon $-tensor product of suitable locally convex spaces E and F. In particular, certain results of Lewis [3] are extended.

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PII: S 0002-9939(1976)0493405-0
Keywords: $ \varepsilon $-tensor products, weak sequential completeness, compact operators
Article copyright: © Copyright 1976 American Mathematical Society