Representation and normality of ∗ -paranormal absolutely norm attaining operators
Article Type
Research Article
Publication Title
Acta Scientiarum Mathematicarum
Abstract
In this article, we give a representation of absolutely norm attaining ∗ -paranormal operators. More specifically, we prove that every ∗ -paranormal absolutely norm attaining operator T can be decomposed as U⊕ D, where U is a direct sum of scalar multiples of unitary operators and D is an upper triangular block operator matrix. Later, we provide a sufficient condition under which a ∗ -paranormal absolutely norm attaining operator is normal.
First Page
167
Last Page
181
DOI
https://10.1007/s44146-023-00063-0
Publication Date
6-1-2023
Recommended Citation
Bala, Neeru, "Representation and normality of ∗ -paranormal absolutely norm attaining operators" (2023). Journal Articles. 3712.
https://digitalcommons.isical.ac.in/journal-articles/3712