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- Title
Representation and normality of ∗-paranormal absolutely norm attaining operators.
- Authors
Bala, Neeru
- 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.
- Subjects
UNITARY operators; COMPACT operators; TRIANGULAR norms
- Publication
Acta Scientiarum Mathematicarum, 2023, Vol 89, Issue 1/2, p167
- ISSN
0001-6969
- Publication type
Article
- DOI
10.1007/s44146-023-00063-0