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arXiv · 2503.06168

Some Classes of Absolutely Norm Attaining Weighted Shift operators on Directed Graphs

K Krishnan·T. Prasad·E. Shine Lal
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Abstract

In this paper we study absolutely norm attaining quasi-$\ast$-paranormal weighted shifts on directed graphs 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. Later we investigate weighted composition and Lambert operators on directed graphs.

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K Krishnan, T. Prasad, E. Shine Lal. 2026-07-10. Some Classes of Absolutely Norm Attaining Weighted Shift operators on Directed Graphs. https://arxiv.org/abs/2503.06168

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