논문KCI 등재
Spectral continuity of essentially $p$--hyponormal operators
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Abstract
In this paper it is shown that the spectrum is con-tinuous at every p-hyponormal operator when restricted to the setof essentially p-hyponormal operators and moreover is contin-uous when restricted to the set of compact perturbations ofp-hyponormal operators whose spectral pictures have no holes as-sociated with the index zero.
참고문헌 (10)
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- "\ref\key 2 \by M. Cho and T. Huruya \paper $p$--hyponormaloperators for $0<p<\frac"
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- "Operators that are points of spectral continuity \jour Integral Equations Operator Theory", pp.174~
- "Hyponormality and spectra of Toeplitz operators", 348(10), pp.4153~4174 (1996)
- "\ref\key 6 \by J.~K. Finch \paper The single valuedextension property on a Banach space \jour Pacific J. Math.\vol 58 \yr 1975 \pages no. 1", pp.61~
- "\ref\key 8 \by R.~E. Harte \book Invertibility andSingularity for Bounded Linear Operators \publ MarcelDekker", Inc. \publaddr New York \yr 1988\endref
- "On the continuity of spectra of Toeplitz operators", 70(1), pp.66~73
- "The spectrum is continuous on the set of $p$-hyponormal operators", 235(1), pp.151~157 (2000)
- "Operators with finite ascent", pp.323~
관련 논문AI추천
Spectral properties of $p$-hyponormal and log-hyponormal operators전인호, Bhagwati P. Duggal대한수학회 · 대한수학회보2005 · 제42권 제3호On the spectral continuity이재원, 전인호강원경기수학회 · 한국수학논문집2015 · 제23권 제1호On Weyl spectra of algebraically totally-paranormal operators김진천대한수학회 · 대한수학회보2002 · 제39권 제4호ESSENTIAL SPECTRA OF w-HYPONORMAL OPERATORS김재희, 이광일, 차형구한국수학교육학회 · 이론수학과 교직수학2003 · 제10권 제4호A note on spectral continuity김인현, 전인호강원경기수학회 · 한국수학논문집2015 · 제23권 제4호The spectral continuity of essentially hyponormal operators김안현, 류은진대한수학회 · 대한수학회논문집2014 · 제29권 제3호
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