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

Published online by Cambridge University Press:  01 January 2007

A. BOURHIM  and
V. G. MILLER
A. BOURHIM
Affiliation:
Département de Mathématiques et de Statistique, Université Laval, Québec (Québec), CanadaG1K 7P4 e-mail: bourhim@mat.ulaval.ca
V. G. MILLER
Affiliation:
Department of Mathematics and Statistics, Mississippi State University, Mississippi State, MS 39762, USA e-mail: vivien@math.msstate.edu
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Abstract.

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

Keywords

Primary 47B37Secondary 47A1047A11
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 49 , Issue 1 , January 2007 , pp. 99 - 104
Copyright
Copyright © Glasgow Mathematical Journal Trust 2007

References

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