The single-valued extension property for bilateral operator weighted shifts

Author:

Bourhim A.,Chidume C.

Abstract

In this paper, we give necessary and sufficient conditions for a bilateral operator weighted shift to enjoy the single-valued extension property.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference11 articles.

1. P. Aiena, T. L. Miller and M. M. Neumann, On a localized single-valued extension property, Proc. Royal Irish Acad. (to appear).

2. Single-valued extension property at the points of the approximate point spectrum;Aiena, Pietro;J. Math. Anal. Appl.,2003

3. Operators which do not have the single valued extension property;Aiena, Pietro;J. Math. Anal. Appl.,2000

4. Dichotomy, discrete Bohl exponents, and spectrum of block weighted shifts;Ben-Artzi, Asher;Integral Equations Operator Theory,1991

5. A. Bourhim, On the local spectral properties of weighted shift operators, (submitted).

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1. On unitary equivalence of bilateral operator valued weighted shifts;Opuscula Mathematica;2019

2. Dichotomy spectra of triangular equations;Discrete and Continuous Dynamical Systems;2015-06

3. Fine Structure of the Dichotomy Spectrum;Integral Equations and Operator Theory;2012-03-07

4. Spectrum of bilateral shifts with operator-valued weights;Proceedings of the American Mathematical Society;2006-01-31

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