On kernel theorems for Frechet and DF spaces

2005/01/12 by A. G. Smirnov, Smirnov, A. G., M. A. Soloviev +1
Mathematics · #46A04 #46A32 #46E10 #FOS: Mathematics #Functional Analysis (math.FA) #math.FA #msc:46A04 #msc:46A32 #msc:46E10

paper · pdf · doi:10.48550/arxiv.math/0501187

10 pages

arxiv created 2005/01/12 · arxiv updated 2009/12/01

Abstract

A convenient technique for calculating completed topological tensor products of functional Frechet or DF spaces is developed. The general construction is applied to proving kernel theorems for a wide class of spaces of smooth and entire analytic functions.

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