On Absolutely Norm attaining Operators
classification
🧮 math.SP
math.FA
keywords
operatorsabsolutelyattainingnormdiscussboundedcasecomplex
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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.
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