Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

On the structure of selfadjoint Toeplitz operators with rational matrix symbols


Author: Leiba Rodman
Journal: Proc. Amer. Math. Soc. 92 (1984), 487-494
MSC: Primary 47B35
MathSciNet review: 760931
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Selfadjoint Toeplitz operators with rational matrix symbols are studied using a general result concerning functions $ (T{(z)^{ - 1}}x,y)$ where $ T(z)$ is a polynomial family of Toeplitz operators with rational matrix symbols. It is proved that, apart from a finite number of points, these functions can be continued analytically across the boundary of the resolvent set of $ T(z)$, for a dense set of $ x$'s and $ y$'s. This implies piecewise analyticity of the spectral measure $ (Ex,x)$ of selfadjoint Toeplitz operators with rational matrix symbol, for a dense set of $ x$'s.


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


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 47B35

Retrieve articles in all journals with MSC: 47B35


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1984-0760931-0
PII: S 0002-9939(1984)0760931-0
Keywords: Selfadjoint Toeplitz operator, rational matrix symbol, singular continuous component, polynomial family of Toeplitz operators
Article copyright: © Copyright 1984 American Mathematical Society