On absolutely norm attaining operators

We give the necessary and sufficient conditions for a bounded operator defined between complex Hilbert spaces to be absolutely norm attaining. We discuss the structure of such operators in the case of self-adjoint and normal operators separately. Finally, we discuss several properties of absolutely...

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Veröffentlicht in:	Proceedings of the Indian Academy of Sciences. Mathematical sciences 2019-09, Vol.129 (4), p.1-17, Article 54
Hauptverfasser:	Venku Naidu, D, Ramesh, G
Format:	Artikel
Sprache:	eng
Schlagworte:	Hilbert space Mathematics Mathematics and Statistics Operators
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	We give the necessary and sufficient conditions for a bounded operator defined between complex Hilbert spaces to be absolutely norm attaining. We discuss the structure of such operators in the case of self-adjoint and normal operators separately. Finally, we discuss several properties of absolutely norm attaining operators.
ISSN:	0253-4142 0973-7685
DOI:	10.1007/s12044-019-0491-y