ON WEIGHTED WEYL SPECTRUM, II

Title & Authors
ON WEIGHTED WEYL SPECTRUM, II
Arora Subhash Chander; Dharmarha Preeti;

Abstract
In this paper, we show that if T is a hyponormal operator on a non-separable Hilbert space H, then $\small{Re\;{\omega}^0_{\alpha}(T)\;{\subset}\;{\omega}^0_{\alpha}(Re\;T)}$, where $\small{{\omega}^0_{\alpha}(T)}$ is the weighted Weyl spectrum of weight a with ${\alpha}\;with\;{\aleph}_0{\leq}{\alpha}{\leq}h: Keywords weighted spectrum;weighted Weyl spectrum;$\small{{\alpha}-Weyl}$ operator; Language English Cited by 1. On <i>α</i>-Weyl Operators, Advances in Pure Mathematics, 2016, 06, 03, 138 References 1. S. C. Arora and P. Arora, On operators satisfying Re$\sigma_{\alpha}$(T) =$\sigma_{\alpha}$(Re T), J. Indian Math. Soc. 48 (1984), no. 1-4, 201-204 2. S. K. Berberian, Conditions on an operator implying Re$\sigma_{\alpha}$(T) =$\sigma_{\alpha}\$(Re T), Trans. Amer. Math. Soc. 154 (1971), 267-272

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