Some Classes of Absolutely Norm Attaining Weighted Shifts Operators on Directed Trees

In this paper we characterise absolutely norm attaining quasi*paranormal weighted shifts on directed trees and give some examples. Moreover we give some examples which show that the spectrum of a positive absolutely norm attaining operator containing more than one eigenvalue with infinite multiplicity.

Publication Details

Journal
ArXiv.org
Published
2025-03-08
Primary Topic
Holomorphic and Operator Theory
Type
article
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article

Some Classes of Absolutely Norm Attaining Weighted Shifts Operators on Directed Trees

ArXiv.org
Holomorphic and Operator Theory
article

Some Classes of Absolutely Norm Attaining Weighted Shifts Operators on Directed Trees

article en

Abstract

In this paper we characterise absolutely norm attaining quasi*paranormal weighted shifts on directed trees and give some examples. Moreover we give some examples which show that the spectrum of a positive absolutely norm attaining operator containing more than one eigenvalue with infinite multiplicity.

ArXiv.org
Reduced inequalities
Openalex Percentile: Top 39%
Holomorphic and Operator Theory
Open Access PDFOpenAlex
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