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

Smooth sequence spaces and associated nuclearity


Author: T. Terzioğlu
Journal: Proc. Amer. Math. Soc. 37 (1973), 497-504
MSC: Primary 46A45
MathSciNet review: 0324372
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Abstract: We characterize $ \lambda $-nuclear smooth sequence spaces where $ \lambda $ itself is a smooth sequence space of infinite type. We also show that there is a duality between smooth sequence spaces of finite and infinite type.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1973-0324372-5
PII: S 0002-9939(1973)0324372-5
Keywords: Nuclear spaces, Köthe sequence spaces
Article copyright: © Copyright 1973 American Mathematical Society