Mathematical Theory and Modeling
On Quasi-Similarity and Putnam- Fuglede Property of Operators In Hilbert Spaces
Abstract
The problem of finding conditions under which two given operators say A and B have equal spectra has been considered by several authors. In this paper we show that quasi-similar operators and which satisfy the Putnam- Fuglede property have equal spactra and also equal essential spectra.
AMS subject classification: 47B47, 47A30, 47B20.
Key words and phrases: quasi-similarity, quasi-affinity and putnam-Fuglede property.
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ISSN (Paper)2224-5804 ISSN (Online)2225-0522
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