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Continuity of spectra and compact perturbations
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In this note we give conditions for continuity of spectrum, approximative point spectrum and defect spectrum on the set {T}+K(X), where T∈B(X) and K(X) is the set of compact operators.
Abstract
In this note we give conditions for continuity of spectrum, approximative point spectrum and defect spectrum on the set {T}+K(X), where T∈B(X) and K(X) is the set of compact operators.
참고문헌 (9)
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- J. B. Conway, "Operators that are points of spectral continuity", Integral Equations Operator Theory, 2(2), pp.174~198 (1979)
- J. B. Conway, "Operators that are points of spectral continuity. II", Integral Equations Operator Theory, 4(4), pp.459~503 (1981)
- S. V. Djordjevic, "Browder's theorems and spectral continuity", Glasg. Math. J, 42(3), pp.479~486 (2000)
- B. P. Duggal, "SVEP, Browder and Weyl theorems, Topicos de Teora de la Aproximacion III", J. Bustamante G. y S.V. Djordjevic, Textos Cientficos, BUAP, Puebla, 107~146 (2009)
- J. D. Newburgh, "The variation of spectra", Duke Math. J, 18, pp.165~176 (1951)
- C. L. Olsen, "Quasialgebraic operators, compact perturbations, and the essential norm", Michigan Math. J, 21, pp.385~397 (1974)
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