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Extension Theory of Hilbert Modules over Semigroups
Author(s) -
Guo Kunyu
Publication year - 2002
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 - 10.1002/1522-2616(200212)246:1<83::aid-mana83>3.0.co;2-n
Subject(s) - mathematics , pure mathematics , hilbert space , extension (predicate logic) , bounded function , algebra over a field , discrete mathematics , mathematical analysis , computer science , programming language
Hilbert modules over semigroups are essentially the same thing as uniformly bounded representations of semigroups on Hilbert spaces. We develop extension theory of Hilbert modules over semigroups and mainly apply them to study questions from operator theory and representations of nonamenable groups.