THE SINGLE-VALUED EXTENSION PROPERTY IS NOT PRESERVED UNDER SUMS AND PRODUCTS OF COMMUTING OPERATORS-Reference-Cited by-同舟云学术

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THE SINGLE-VALUED EXTENSION PROPERTY IS NOT PRESERVED UNDER SUMS AND PRODUCTS OF COMMUTING OPERATORS

Published:2007-01 Issue:1 Volume:49 Page:99-104
ISSN:0017-0895
Container-title:Glasgow Mathematical Journal
language:en
Short-container-title:Glasgow Math. J.

Author:

BOURHIM A.,MILLER V. G.

Abstract

Abstract.We show that the sum and the product of two commuting operators with the single-valued extension property need not inherit this property.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference12 articles.

1. TENSOR PRODUCTS OF LOG-HYPONORMAL AND OF CLASS $A(s,t)$ OPERATORS

2. Local spectral properties of weighted shifts;Miller;J. Operator Theory,2004

3. Tensor products of operators—strong stability and p-hyponormality

4. Some topics in the theory of decomposable operators;Albrecht;Oper. Theory Adv. Appl.,1986

5. Operators Which Do Not Have the Single Valued Extension Property

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2. Local Spectral Theory;Fredholm and Local Spectral Theory II;2018

3. Some perturbation results through localized SVEP;Acta Scientiarum Mathematicarum;2016

4. On the stability of the localized single-valued extension property under commuting perturbations;Proceedings of the American Mathematical Society;2013-01-07

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