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In this paper we show that the spectrum is continuous on the class of $\star$-paranormal operators but the approximate point spectrum generally is not continuous at $\star$-paranormal operators.
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참고문헌 (17)
참고문헌 신청
B. P. Duggal / 2010 / Continuity of the spectrum on a class of upper triangular operator matrices / Jour. Math. Anal. Appl 370 : 584 ~ 587
B. P. Duggal / 2012 / On *-paranormal contractions and properties for *-class A operators / Linear Algebra Appl 436 : 954 ~ 962
C. Apostol / 1973 / Some results on non-quasitriangular operators. IV / Rev. Roum. Math. Pures Appl 18 : 487 ~ 514
I. S. Hwang / 2000 / The spectrum is continuous on the set of p-hyponormal operators / Math. Z 235 : 151 ~ 157
J. B. Conway / 1979 / Operators that are points of spectral continuity / Integral equations and operator theory 2 : 174 ~ 198
B. P. Duggal / 2012 / On *-paranormal contractions and properties for *-class A operators / Linear Algebra Appl 436 : 954 ~ 962
C. Apostol / 1973 / Some results on non-quasitriangular operators. IV / Rev. Roum. Math. Pures Appl 18 : 487 ~ 514
I. S. Hwang / 2000 / The spectrum is continuous on the set of p-hyponormal operators / Math. Z 235 : 151 ~ 157
J. B. Conway / 1979 / Operators that are points of spectral continuity / Integral equations and operator theory 2 : 174 ~ 198
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