On a generalization of W*-modules

• Autorzy: David P. Blecher , Jon E. Kraus
• Języki publikacji: EN

Abstrakty

EN

a recent paper of the first author and Kashyap, a new class of Banach modules over dual operator algebras is introduced. These generalize the W*-modules (that is, Hilbert C*-modules over a von Neumann algebra which satisfy an analogue of the Riesz representation theorem for Hilbert spaces), which in turn generalize Hilbert spaces. In the present paper, we describe these modules, giving some motivation, and we prove several new results about them.

Kategorie tematyczne

• 47L30: Abstract operator algebras on Hilbert spaces
• 46L08: C * -modules
• 47L45: Dual algebras; weakly closed singly generated operator algebras
• 16D90: Module categories ; module theory in a category-theoretic context; Morita equivalence and duality
• 47L25: Operator spaces (= matricially normed spaces)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2010
• Tom: 91
• Numer: 1
• Strony: 77-86

Daty

wydano

2010

Twórcy

autor

David P. Blecher

• Department of Mathematics, University of Houston, Houston, TX 77204-3008, U.S.A.

autor

Jon E. Kraus

• Department of Mathematics, State University of New York at Buffalo, Buffalo, NY 14260-2900, U.S.A.

Identyfikatory

DOI

10.4064/bc91-0-4