Stability of AN-Operators under Functional Calculus

In this note we discuss absolutely norm attaining property ( A N -property in short) of the Jordan product and Lie-bracket. We propose a functional calculus for positive absolutely norm attaining operators and discuss the stability of the A N -property under the functional calculus. As a consequence...

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Bibliographic Details
Published in:Analysis mathematica (Budapest) 2023-09, Vol.49 (3), p.825-839
Main Authors: Ramesh, G., Osaka, H., Udagawa, Y., Yamazaki, T.
Format: Article
Language:English
Subjects:
Analysis
Mathematics
Mathematics and Statistics
Operators
Stability
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Summary:In this note we discuss absolutely norm attaining property ( A N -property in short) of the Jordan product and Lie-bracket. We propose a functional calculus for positive absolutely norm attaining operators and discuss the stability of the A N -property under the functional calculus. As a consequence we discuss the operator mean of positive A N -operators.
ISSN:0133-3852
1588-273X
DOI:10.1007/s10476-023-0231-5