On the Spectrum of a Morphism of Quotient Hilbert Spaces

In this paper we define the notion of spectrum for a morphism of quotient Hilbert spaces. The definition is the same with the one given by L.Waelbroeck but the proofs that the spectrum is a compact and nonempty set are different. In this context we also make some remarks concerning the resolvent fun...

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Bibliographic Details
Main Author: Sorin Nadaban
Format: Article
Language:English
Published: University Constantin Brancusi of Targu-Jiu 2006-12-01
Series:Surveys in Mathematics and its Applications
Subjects:
Online Access:http://www.utgjiu.ro/math/sma/v01/p02.pdf