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A Characterization of the Left Joint Spectrum and Its Applications

A Characterization of the Left Joint Spectrum and Its Applications
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摘要 In this paper we characterize the left joint spectrum of an n-tuple T = (T1,… ,Tn) of dominant bounded linear operators on a complex Hilbert space H and the unital C-algebra C(T) generated by T1, …,Tn and Ⅰ; moreover, we give an application of this characterization. In this paper we characterize the left joint spectrum of an n-tuple T = (T1,… ,Tn) of dominant bounded linear operators on a complex Hilbert space H and the unital C-algebra C(T) generated by T1, …,Tn and Ⅰ; moreover, we give an application of this characterization.
作者 史平 马吉溥
出处 《Northeastern Mathematical Journal》 CSCD 2004年第2期191-199,共9页 东北数学(英文版)
基金 The NSF (10271053) of China.
关键词 OPERATOR left joint spectrum C-ALGEBRA complex homomorphism operator, left joint spectrum, C-algebra, complex homomorphism
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参考文献5

  • 1Stampfli, J. G. and Wadhwa, B. L., On dominant operators, Monatsh. Math., 84(1977),143-153.
  • 2Salinas, N., Quasitriangular extension of C*-algebras and problems on joint quasitriangularity of operators, J. Operator Theory, 10(1983), 167-205.
  • 3Douglas, R. G., On majorization, factorization, and range inclusion of operators on Hilbert space, Proc. Amer. Math. Soc., 17(1966), 413-415.
  • 4Clancey, K., Seminormal Operators, Springer-Verlag, Berlin, 1979.
  • 5Chō, M. and Dash, A.T., On the joint spectra of doubly commuting n-tuple of seminormal operators, Glasgow Math. J., 26(1985), 47-51.

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