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Spectral Properties of w-hyponormal Operators

Title
Spectral Properties of w-hyponormal Operators
Authors
손정숙
Issue Date
2001
Department/Major
대학원 수학과
Keywords
SpectralPropertiesw-hyponormalOperators
Publisher
이화여자대학교 대학원
Degree
Master
Abstract
In this thesis we study some spectral properties of w-hyponormal operators. In particular, we show that if two quasisimilar w-hyponormal operators are quasiaffinities then they have the same spectra and that the spectrum is continuous on the set of all w-hyponormal operators with closed range.;이 논문에서는 몇 가지 w-hyponormal 작용소의 성질에 대해서 공부한다. 만약 두개의 quasisimilar w-hyponormal 작용소가 quasiaffinities 하다면 그들은 같은 spectra를 갖는다는 것과 그리고 spectrum이 closed range를 가지는 모든 w-hyponormal 작용소의 집합 위에서 연속임을 보여주고자 한다.
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일반대학원 > 수학과 > Theses_Master
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