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 quasisimilarityof m-hyponormal operators and determine the conditions under which quasisimilarity of m-hyponormal operators yields equal Browder spectrum.Original Research Article
