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Spectral properties of $p$-hyponormal and log-hyponormal operators

전인호|Bhagwati P. Duggal
대한수학회 (The Korean Mathematical Society)|2005.08|대한수학회보 (Bulletin of the KMS)|제42권 제3호|pp. 543-554

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Abstract

In this paper it is proved that for p-hyponormal orlog-hyponormal operator A there exist an associated hyponormaloperator T, a quasi-anity X and an injection operator Y suchthat TX = XA and AY = Y T. The operator A and T have thesame spectral picture. We apply these results to give brief proofsof some well known spectral properties ofp-hyponormal and log-hyponormal operators, amongst them that the spectrum is a con-tinuous function on these classes of operators.

참고문헌 (13)

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  7. S. V. Djordjevic, "Weyl's theorems and continuity of spectrain the class of p-hyponormal operators", 143, pp.23~32 (2000)
  8. B. P. Duggal, "Quasi-similar p-hyponormal operators", 26, pp.338~345 (1996)
  9. null, "The Weyl spectrum of p-hyponormal operators", 29, pp.197~201 (1997)
  10. I. S. Hwang, "The spectrum is continuous on the set of p-hyponormal operators", 235, pp.151~157 (2000)
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  13. "Spectral theory of hyponormal operators" (1983)

관련 논문AI추천

Spectral continuity of essentially $p$--hyponormal operators권은영, 김안현대한수학회 · 대한수학회보2006 · 제43권 제2호The Spectral Property $\sigma\big(\textrm{Re}\,(T)\big)=\textrm{Re}\,\big(\sigma(T)\big)$ of $p$-hyponormal OperatorsJun Ik Lee한국수학교육학회 · 이론수학과 교직수학2005 · 제12권 제3호On Weyl spectra of algebraically totally-paranormal operators김진천대한수학회 · 대한수학회보2002 · 제39권 제4호Tensor Products of Log-Hyponormal Operators김인현대한수학회 · 대한수학회보2005 · 제42권 제2호Properties of a $k$th root of a hyponormal operator고응일대한수학회 · 대한수학회보2003 · 제40권 제4호ESSENTIAL SPECTRA OF w-HYPONORMAL OPERATORS김재희, 이광일, 차형구한국수학교육학회 · 이론수학과 교직수학2003 · 제10권 제4호

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