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

  • 2,888 Views
  • 2,167 Downloads
  • 0 Citations

Download

Keywords

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