Year: 2018
Type: preprint
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.
Source: arXiv (Cornell University)
Authors: Ramesh, G., Naidu, D. Venku
Institution: Indian Institute of Technology Hyderabad
Language: English
Topic: Advanced Banach Space Theory
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2784031360