Petro Oyoo Maina
Phd Student, School Of Mathematics, University Of Nairobi, P.o Box 30197, Kenya
Unitarily Equivalence, Similarity And Weyl Spectrum
This paper shows that the theory for those notions of Weyl spectrum simplifies if the underlying space is a separable Hilbert space and the operator is reduced by its finite- dimensional eigenspaces. The spectrum and essential spectrum of an operator has been studied with respect to similarity and unitary equivalence. In this paper we give possibility of relaxing unitary equivalence

Petro Oyoo Maina
Phd Student, School Of Mathematics, University Of Nairobi, P.o Box 30197, Kenya
Weyl Spectrum And Similarity Equivalence
The spectrum of an operator has been studied by several Authors with respect to properties of similarity, unitary equivalence and quasi-similarity. Similarly the essential spectrum with relation to the same properties has also been captured by several Authors as well. In this paper we carry on with similar study on the role of weyl spectrum in connection to the similarity.

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