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

Functional Analysis 2025-03-11 v1

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.

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Cite

@article{arxiv.2503.06168,
  title  = {Some Classes of Absolutely Norm Attaining Weighted Shifts Operators on Directed Trees},
  author = {K Krishnan and T. Prasad and E. Shine Lal},
  journal= {arXiv preprint arXiv:2503.06168},
  year   = {2025}
}

Comments

18 pages, 5 figures