Spectrum of Normal Weighted Composition Operators on the Fock Space Over CN

被引：3

作者：

Feng, Li Xia ^{[1
]}

Zhao, Lian Kuo ^{[1
]}

机构：

[1] Shanxi Normal Univ, Sch Math & Comp Sci, Linfen 041004, Peoples R China

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2019年 / 35卷 / 09期

关键词：

Fock space; weighted composition operator; normal; spectrum; UNITARY;

D O I：

10.1007/s10114-019-8549-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By using commutative C*-algebra techniques, spectrum and essential spectrum of normal weighted composition operators on the Fock space over DOUBLE-STRUCK CAPITAL C-N are completely characterized. As an application, spectrum of self-adjoint weighted composition operators on the Fock space are obtained also.

引用

页码：1563 / 1572

页数：10

共 13 条

[1]

[Anonymous], 2010, HARMONIC ANAL OPERAT

[2]

Carswell B. J., 2003, Acta Sci. Math. (Szeged), V69, P871

[3] The Fourier and Hilbert transforms Under the Bargmann transform [J].

Dong, Xing-Tang ;

Zhu, Kehe .

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2018, 63 (04) :517-531

[4]

Douglas R., 1998, Banach Algebra Techniques in Operator Theory, V2, DOI [10.1007/978-1-4612-1656-8, DOI 10.1007/978-1-4612-1656-8]

[5]

Guo KY, 2008, ACTA SCI MATH, V74, P807

[6] Spectra of weighted composition operators with automorphic symbols [J].

Hyvarinen, Olli ;

Lindstrom, Mikael ;

Nieminen, Ilmari ;

Saukko, Erno .

JOURNAL OF FUNCTIONAL ANALYSIS, 2013, 265 (08) :1749-1777

[7] Normal and isometric weighted composition operators on the Fock space [J].

Le, Trieu .

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2014, 46 :847-856

[8] Self-adjoint, unitary, and normal weighted composition operators in several variables [J].

Le, Trieu .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 395 (02) :596-607

[9] A Class of Normal Weighted Composition Operators on the Fock Space of Cn [J].

Zhao, Lian Kuo .

ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2015, 31 (11) :1789-1797

[10] NORMAL WEIGHTED COMPOSITION OPERATORS ON THE FOCK SPACE OF CN [J].

Zhao, Liankuo .

OPERATORS AND MATRICES, 2017, 11 (03) :697-704

← 1 2 →