On unitary equivalence of some classes of operators in Hilbert spaces
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Abstract It is a well-known result in op erator theory that whenever two op erators are similar then they have equal sp ectra even though they do not have to belong to the same class of op erators. However under a stronger relation of unitary equivalence it can be shown that two unitarily equivalent op erators may belong to the same class of op erators. In this p ap er we endeavor to exhibit results on such classes of op erators which belong to same class under unitary equivalence.
CitationLuketero, S. W., and J. M. Khalagai. "On unitary equivalence of some classes of operators in Hilbert spaces." International Journal of Statistics and Applied Mathematics 5.2 (2020): 35-37.
University of Nairobi
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