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)



Spectral properties of commuting operations for $ n$-tuples

Authors: C. Benhida and E. H. Zerouali
Journal: Proc. Amer. Math. Soc. 139 (2011), 4331-4342
MSC (2010): Primary 47B20
Published electronically: April 11, 2011
MathSciNet review: 2823078
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: Let $ {\bf R} $ and $ \mathbf{ S}$ be commuting $ n$-tuples. We give some spectral and local spectral relations between $ \mathbf{ RS}$ and $ \mathbf{ SR}$. In particular, we show that $ \mathbf{ RS}$ has the single valued extension property or satisfies Bishop's property $ (\beta)$ if and only if $ \mathbf{ SR}$ has the corresponding property.

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

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2010): 47B20

Retrieve articles in all journals with MSC (2010): 47B20

Additional Information

C. Benhida
Affiliation: UFR de Mathématiques - CNRS-UMR 8524, Université de Lille 1, Bât M2, 59655 Villeuneuve cedex, France

E. H. Zerouali
Affiliation: Faculté des Sciences de Rabat, Université Mohammed V, BP 1014, Rabat, Morocco

Keywords: $n$-tuples, Taylor spectrum, joint spectra, $SVEP$, Bishop’s property $(\beta)$.
Received by editor(s): February 16, 2009
Received by editor(s) in revised form: January 31, 2010, and October 6, 2010
Published electronically: April 11, 2011
Communicated by: Marius Junge
Article copyright: © Copyright 2011 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