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Spectrum of Normal Weighted Composition Operators on the Fock Space Over C^N 被引量：4

Spectrum of Normal Weighted Composition Operators on the Fock Space Over C^N
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摘要 By using commutative C*-algebra techniques, spectrum and essential spectrum of normal weighted composition operators on the Fock space over CN are completely characterized. As an application, spectrum of self-adjoint weighted composition operators on the Fock space are obtained also. By using commutative C*-algebra techniques, spectrum and essential spectrum of normal weighted composition operators on the Fock space over C^N are completely characterized. As an application, spectrum of self-adjoint weighted composition operators on the Fock space are obtained also.
作者 Li Xia FENG Lian Kuo ZHAO
机构地区 School of Mathematics and Computer Science
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2019年第9期1563-1572,共10页 数学学报（英文版）
基金 Supported by NSFC(Grant Nos.11771401 and 11471189)
关键词 FOCK space weigh TED composition OPERATOR NORMAL SPECTRUM Fock space weighted composition operator normal spectrum
分类号 O1 [理学—基础数学]
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  • 1Carswell, B. J., MacCluer, B. D., Schuster, A.: Compostion operators on the Fock space. Acta Sci. Math. (Szeged), 69, 871-887 (2003).
  • 2Choe, B. R., Izuchi, K. H., Koo, H.: Linear sums of two composition operators on the Fock space. Y. Math. Anal. Appl., 369(1), 112-119 (2010).
  • 3Grudsky, S. M., Vasilevski, N. L.: Toeplitz operators on the Fock space: radial compotent effects. Integral Equations Operator Theory, 44, 10-37 (2002).
  • 4Guo, K. Y., Izuchi, K.: Composition operators on Fock type spaces. Acta Sci. Math. (Szeged), 74, 805-826 (2008).
  • 5Hu, Z., Lv, X.: Toeplitz operators from one Fock space to another. Integral Equations Operator Theory, 70(4), 541-559 (2011).
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  • 7Janson, S., Peetre, J., Rochberg, R.: Hankel forms and the Fock space. Rev. Mat. Iberoamericana, 3, 61-129 (1987).
  • 8Le, T.: Normal and isometric weighted composition operators on the Fock space. Bull. London Math. Soc., 46, 847-856 (2014).
  • 9Le, T.: Self-adjoint, unitary and normal weighted composition operators in several variables. J. Math. Anal. Appl., 395, 596-607 (2012).
  • 10Seip, K., Youssfi, E. H.: Hankel operators on Fock spaces and related Bergman kernel estimates. J. Geom. Anal., 1-32 (2010).

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Acta Mathematica Sinica,English Series
2019年 第9期

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