arXiv 1801.024322018-01-08math.SPmath.FA

On Absolutely Norm attaining Operators

G. Ramesh, D. Venku Naidu

备注：: Submitted to a journal

英文摘要：

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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