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Complex Variables and Elliptic Equations
An International Journal
Volume 67, 2022 - Issue 6
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Articles

Numerical range of weighted composition operators on the Fock space

Mahmood Haji Shaabania Department of Mathematics, Shiraz University of Technology, Shiraz, Iran
,
Mahsa Fatehib Department of Mathematics, Shiraz Branch, Islamic Azad University, Shiraz, Iran
&
Christopher N. B. Hammondc Department of Mathematics and Statistics, Connecticut College, New London, CT, USACorrespondence[email protected]
Pages 1529-1541 | Received 09 Sep 2020, Accepted 05 Feb 2021, Published online: 23 Feb 2021

References

  • Zhu K. Analysis on Fock spaces. New York: Springer-Verlag; 2012.
  • Cowen CC, MacCluer BD. Composition operators on spaces of analytic functions. Boca Raton: CRC Press; 1995.
  • Shapiro JH. Composition operators and classical function theory. New York: Springer-Verlag; 1993.
  • Carswell BJ, MacCluer BD, Schuster A. Composition operators on the Fock space. Acta Sci Math (Szeged). 2003;69(3–4):871–887.
  • Fatehi M. Weighted composition operators on the Fock space. Oper Matrices. 2019;13(2):461–469.
  • Hai PV, Khoi LH. Complex symmetry of weighted composition operators on the Fock space. J Math Anal Appl. 2016;433(2):1757–1771.
  • Zhao L. Unitary weighted composition operators on the Fock space of Cn. Complex Anal Oper Theory. 2014;8(2):581–590.
  • Zhao L. Invertible weighted composition operators on the Fock space of Cn. J Funct Spaces. 2015;2015:Art. ID 250358, 5 pp.
  • Zhao L. Isometric weighted composition operators on the Fock space of Cn. Bull Korean Math Soc. 2016;53(6):1785–1794.
  • Zhao L, Pang C. A class of weighted composition operators on the Fock space. J Math Res Appl. 2015;35(3):303–310.
  • Ueki S. Weighted composition operator on the Fock space. Proc Amer Math Soc. 2007;135(5):1405–1410.
  • Ueki S. Weighted composition operator on some function spaces of entire functions. Bull Belg Math Soc Simon Stevin. 2010;17(2):343–353.
  • Abdollahi A. The numerical range of a composition operator with conformal automorphism symbol. Linear Algebra Appl. 2005;408:177–188.
  • Bourdon PS, Shapiro JH. The numerical ranges of automorphic composition operators. J Math Anal Appl. 2000;251(2):839–854.
  • Bourdon PS, Shapiro JH. When is zero in the numerical range of a composition operator? Integral Equ Oper Theory. 2002;44(4):410–441.
  • Fatehi M. Numerical ranges of weighted composition operators. J Math Anal Appl. 2019;477(1):875–884.
  • Heydari MT, Abdollahi A. The numerical range of finite order elliptic automorphism composition operators. Linear Algebra Appl. 2015;483:128–138.
  • Hai PV, Khoi LH. Complex symmetric weighted composition operators on the Fock space in several variables. Complex Var Elliptic Equ. 2018;63(3):391–405.
  • Gustafson KE, Rao KM. The numerical range: the field of values of linear operators and matrices. New York: Springer-Verlag; 1997.
  • Donoghue WF. On the numerical range of a bounded operator. Michigan Math J. 1957;4:261–263.
  • de Barra G, Giles JR, Sims B. On the numerical range of compact operators on Hilbert spaces. J London Math Soc (2). 1972;5:704–706.
  • Gunatillake G. Spectrum of a compact weighted composition operator. Proc Amer Math Soc. 2007;135(2):461–467.
  • Lang L, Zhao L. Numerical ranges of normal weighted composition operators on the Fock spaces of CN. J Funct Spaces. 2018;2018:Art. ID 1740916, 6 pp.
  • Conway JB. A course in functional analysis. 2nd ed. New York: Springer-Verlag; 1990.

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