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Tensor product characterizations of mixed intersections of non quasianalytic classes and kernel theorems
Author(s) -
Schmets Jean,
Valdivia Manuel
Publication year - 2009
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200810758
Subject(s) - mathematics , tensor product , kernel (algebra) , pure mathematics , product (mathematics) , tensor product of hilbert spaces , tensor (intrinsic definition) , tensor product of algebras , tensor contraction , geometry
Mixed intersections of non quasi‐analytic classes have been studied in [12]. Here we obtain tensor product representations of these spaces that lead to kernel theorems as well as to tensor product representations of intersections of non quasi‐analytic classes on product of open or of compact sets (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)