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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Tensor products of locally convex modules and applications to the multiplier problem


Author: Roger Rigelhof
Journal: Trans. Amer. Math. Soc. 164 (1972), 295-307
MSC: Primary 43A22; Secondary 46M05
MathSciNet review: 0293335
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Abstract: In this paper we present a representation theorem for the tensor product of locally convex modules. This theorem has a number of consequences in the study of the multiplier problem in harmonic analysis, and the remainder of the paper is devoted to these applications.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1972-0293335-4
PII: S 0002-9947(1972)0293335-4
Keywords: Locally convex modules, tensor products, locally convex algebras, Banach modules, multipliers
Article copyright: © Copyright 1972 American Mathematical Society