Weyl's Theorem for Algebraically (\(\wp, \wr, \varrho\))-Paranormal and Algebraically (\(\wp, \wr, \varrho\))-*-Paranormal Operators
D. Senthilkumar *
Government Arts College (Autonomous)Coimbatore, Tamil Nadu-641 018, India.
K. Sathiyamoorthi
Government Arts College (Autonomous)Coimbatore, Tamil Nadu-641 018, India.
*Author to whom correspondence should be addressed.
Abstract
Present L be an algebraically (\(\wp, \wr, \varrho\))-Paranormal and algebraically (\(\wp, \wr, \varrho\))-*-Paranormal operators on \(L^2\) space. We examine Weyl's theorem, a-Browder's theorem and spectral mapping theorem holds for weyl's spectrum of L and essential approximate point spectrum of L.
Keywords: Weyl's theorem, a-Browder's theorem, algebraically (\(\wp, \wr, \varrho\))-Paranormal and algebraically (\(\wp, \wr, \varrho\))-*- Paranormal operators