Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

Remote Access
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


Bicommutants of reduced unbounded operator algebras

Authors: Fabio Bagarello, Atsushi Inoue and Camillo Trapani
Journal: Proc. Amer. Math. Soc. 137 (2009), 3709-3716
MSC (2000): Primary 47L60
Published electronically: June 29, 2009
MathSciNet review: 2529878
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: The unbounded bicommutant $ (\mathfrak{M}_{E'})''_{\mathrm{wc}}$ of the reduction of an O*-algebra $ \mathfrak{M}$ via a given projection $ E'$ weakly commuting with $ \mathfrak{M}$ is studied, with the aim of finding conditions under which the reduction of a GW*-algebra is a GW*-algebra itself. The obtained results are applied to the problem of the existence of conditional expectations on O*-algebras.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 47L60

Retrieve articles in all journals with MSC (2000): 47L60

Additional Information

Fabio Bagarello
Affiliation: Dipartimento di Metodi e Modelli Matematici, Facoltà d’Ingegneria, Università di Palermo, I-90128 Palermo, Italy

Atsushi Inoue
Affiliation: Department of Applied Mathematics, Fukuoka University, Fukuoka 814-0180, Japan

Camillo Trapani
Affiliation: Dipartimento di Matematica ed Applicazioni, Università di Palermo, I-90123 Palermo, Italy

PII: S 0002-9939(09)10023-0
Received by editor(s): September 9, 2008
Published electronically: June 29, 2009
Additional Notes: This work was supported by CORI, Università di Palermo.
Communicated by: Marius Junge
Article copyright: © Copyright 2009 American Mathematical Society

Comments: Email Webmaster

© Copyright , American Mathematical Society
Contact Us · Sitemap · Privacy Statement

Connect with us Facebook Twitter Google+ LinkedIn Instagram RSS feeds Blogs YouTube Podcasts Wikipedia