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The Spectral Property $\sigma\big(\textrm{Re}\,(T)\big)=\textrm{Re}\,\big(\sigma(T)\big)$ of $p$-hyponormal Operators
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์ฐธ๊ณ ๋ฌธํ
์ฃผ์ ๋ถ๋ฅ์ํ
์ด๋ก
Abstract
In this note we consider the projective property แ Re(T) ฤฑ = Re แ (T) ฤฑ of p-hyponormal operators and log-hyponormal operators.
์ฐธ๊ณ ๋ฌธํ (10)
- Ando, "Operators with a norm condition" (1972)
- Berberian, "Conditions on an operator implying Re๏ผ" (1971)
- Cho, "A note on real parts of some semi-hyponormal operators"
- Cho, "On spectral properties of log-hyponormal opera-tors"
- Cho, "Isolated point of spectrum ofp-hyponormal", log-hypo(rmaloperators)
- Clancey, "Lecture Notes in Mathematics", semi(rmal operators) (1979)
- Himeji, "Theorems of Ando and Saito forp-hyponormaloperators"
- Hildebrandt, "The closure of the numerical range of an operator as pectral set", pp.~3882 (1964)
- Putnam, "On the spectra of semi-normal operators" (1965)
- Xia, "Spectral theory of hyponormal operators", pp.47036~
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