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Quasi-similarity of tuples with Bishop’s property \((\beta{})\). (English) Zbl 0773.47011

An unitary treatment of the spectral invariance under quasi-similarity phenomena is obtained, by means of the Bishop’s property \((\beta)\).
Reviewer: M.Turinici (Iaşi)

MSC:

47B20 Subnormal operators, hyponormal operators, etc.
47A10 Spectrum, resolvent
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References:

[1] Albrecht, E., Eschmeier, J., Functional calculus and analytic models (in preparation). · Zbl 0881.47007
[2] Bishop, E., A duality theorem for an arbitrary operator, Pacific J. Math. 9(1959), 379-397. · Zbl 0086.31702
[3] Clary, S., Equality of spectra of quasisimilar hyponormal operators, Proc. Amer. Math. Soc. 53(1975), 88-90. · Zbl 0317.47014 · doi:10.1090/S0002-9939-1975-0390824-7
[4] Conway, J.B., The theory of subnormal operators, Math. Surveys and Monographys vol. 36, Amer. Math. Soc., Providence R.I., 1991. · Zbl 0743.47012
[5] Eschmeier, J., Putinar, M., Bishop’s condition (?) and rich extension of linear operators. Indiana Univ. Math. J. 37:2(1988), 325-347. · Zbl 0674.47020 · doi:10.1512/iumj.1988.37.37016
[6] Grauert, H., Remmert, R., Coherent analytic sheaves, Springer-Verlag, Berlin, 1984. · Zbl 0537.32001
[7] Putinar, M., Spectral theory and sheaf theory.II, Math. Z. 192(1986), 473-490. · Zbl 0608.47011 · doi:10.1007/BF01164022
[8] Putinar, M., Spectral theory and sheaf theory.IV, Proc. Symp. Pure Math. 51:2 (1990), 273-293. · Zbl 0778.47023
[9] Raphael, M., Quasisimilarity and essential spectra for subnormal operators, Indiana Univ. Math. J. 31(1982), 243-246. · Zbl 0506.47018 · doi:10.1512/iumj.1982.31.31021
[10] Taylor, J.L., A joint spectrum for several commuting operators, J. Funct. Anal. 6(1970), 172-191. · Zbl 0233.47024 · doi:10.1016/0022-1236(70)90055-8
[11] Williams, L.R., Equality of essential spectra of quasisimilar quasinormal operators, J. Operator Theory 3(1980), 57-69. · Zbl 0437.47016
[12] Yang, L., Equality of essential spectra of quasisimilar operators, Integral Equations Operator Theory 13(1990), 433-441. · Zbl 0713.47024 · doi:10.1007/BF01199894
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