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ISSN: 1549-3644 (Print)
ISSN: 1558-6359 (Online)
Research Article Open Access

Weyl’s Theorem for Algebraically Class A(s, t) Operators

D. Senthilkumar and D. Kiruthika

Abstract

In this study, we show that Weyl’s theorem holds for algebraically class A (s, t) operator acting on Hilbert space. We prove: (i) Weyl’s theorem holds for f (T) for every f belongs to holomorphic function of spectrum of T; (ii) generalized Weyl’s theorem holds for T; (iii) the spectral mapping theorem holds for the Weyl spectrum of T and for the essential approximate point spectrum of T.

Journal of Mathematics and Statistics
Volume 8 No. 1, 2012, 150-153

DOI: https://doi.org/10.3844/jmssp.2012.150.153

Submitted On: 8 June 2011 Published On: 13 February 2012

How to Cite: Senthilkumar, D. & Kiruthika, D. (2012). Weyl’s Theorem for Algebraically Class A(s, t) Operators. Journal of Mathematics and Statistics, 8(1), 150-153. https://doi.org/10.3844/jmssp.2012.150.153

Open AccessCopyright: © 2012 D. Senthilkumar and D. Kiruthika. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

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Keywords

  • Class A (s, t)
  • SVEP
  • isoloid
  • Weyl’s theorem