On Absolutely Norm attaining Operators
Spectral Theory
2018-01-09 v1 Functional Analysis
Abstract
We give necessary and sufficient conditions for a bounded operator defined between complex Hilbert spaces to be absolutely norm attaining. We discuss structure of such operators in the case of self-adjoint and normal operators separately. Finally, we discuss several properties of absolutely norm attaining operators.
Cite
@article{arxiv.1801.02432,
title = {On Absolutely Norm attaining Operators},
author = {G. Ramesh and D. Venku Naidu},
journal= {arXiv preprint arXiv:1801.02432},
year = {2018}
}
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