Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

The essential spectrum of some Toeplitz operators


Authors: Kevin F. Clancey and Bernard B. Morrel
Journal: Proc. Amer. Math. Soc. 44 (1974), 129-134
MSC: Primary 47B35
DOI: https://doi.org/10.1090/S0002-9939-1974-0341162-9
MathSciNet review: 0341162
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: The localization techniques of Douglas and Sarason are used to obtain the essential spectrum of the Toeplitz operator $ {T_\varphi }$ for which $ \varphi $ is the product of a continuous function and the characteristic function of a measurable subset of the unit circle. Examples are given of Toeplitz operators with one-dimensional self-commutator whose essential spectrum is the unit disk. Using an example of J. E. Brennan, the authors show the existence of a completely nonnormal, subnormal operator whose adjoint has no point spectrum.


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: https://doi.org/10.1090/S0002-9939-1974-0341162-9
Keywords: Hyponormal operator, Toeplitz operator, essential spectrum
Article copyright: © Copyright 1974 American Mathematical Society

American Mathematical Society