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

 

The Mackey topology as a mixed topology


Author: J. B. Cooper
Journal: Proc. Amer. Math. Soc. 53 (1975), 107-112
MSC: Primary 46E10; Secondary 46A15
MathSciNet review: 0383059
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Abstract: A theorem on the coincidence of a mixed topology and the Mackey topology is given. The techniques of partitions of unity are used. As a corollary, a result of LeCam and Conway on the strict topology is obtained. Similar methods are applied to obtain a theorem of Collins and Dorroh.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1975-0383059-5
PII: S 0002-9939(1975)0383059-5
Keywords: Mixed topology, Mackey topology, the strict topology, Banach-Steinhaus property
Article copyright: © Copyright 1975 American Mathematical Society