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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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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—Œ (10)

  1. Ando, "Operators with a norm condition" (1972)
  2. Berberian, "Conditions on an operator implying Re๏ผŸ" (1971)
  3. Cho, "A note on real parts of some semi-hyponormal operators"
  4. Cho, "On spectral properties of log-hyponormal opera-tors"
  5. Cho, "Isolated point of spectrum ofp-hyponormal", log-hypo(rmaloperators)
  6. Clancey, "Lecture Notes in Mathematics", semi(rmal operators) (1979)
  7. Himeji, "Theorems of Ando and Saito forp-hyponormaloperators"
  8. Hildebrandt, "The closure of the numerical range of an operator as pectral set", pp.~3882 (1964)
  9. Putnam, "On the spectra of semi-normal operators" (1965)
  10. Xia, "Spectral theory of hyponormal operators", pp.47036~

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