On Browder Spectrum and Quasisimilarity of M-hyponormal Operators in Hilbert Spaces

Abstract

The spectrum of operators and quasisimilarity of m-hyponormal operators in Hilbert Spaces has been extensively studied. It has been shown that quasisimilarity of m-hyponormal operators have equal spectrum, equal Essential Spectrum and equal Weyl Spectrum. However, the consideration of equality of the Browder spectrum for m-hyponormal operators together with quasisimilarity has not been fully determined. Therefore, this study aims to consider the quasisimilarity of m hyponormal operators and determine the conditions under which quasisimilarity of m-hyponormal operators yields equal Browder spectrum