WEIGHTED COMPOSITION OPERATORS ON THE HILBERT SPACE OF DIRICHLET SERIES

被引：5

作者：

Wang, Maofa ^{[1
]}

Yao, Xingxing ^{[2
]}

Deng, Fangwen ^{[3
]}

机构：

[1] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Hubei, Peoples R China

[2] Wuhan Inst Technol, Sch Sci, Wuhan 430205, Hubei, Peoples R China

[3] Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Hubei, Peoples R China

来源：

ACTA MATHEMATICA SCIENTIA | 2018年 / 38卷 / 04期

关键词：

weighted composition operator; Hermitianness; Fredholmness; invertibility; spectrum; ISOMETRIES; H-2;

D O I：

10.1016/S0252-9602(18)30823-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study weighted composition operators on the Hilbert space of Dirichlet series with square summable coefficients. The Hermitianness, Fredholmness and invertibility of such operators are characterized, and the spectra of compact and invertible weighted composition operators are also described.

引用

页码：1427 / 1440

页数：14

共 19 条

[1]

[Anonymous], 1974, REAL COMPLEX ANAL

[2]

[Anonymous], 2003, Spectral theory of linear operators and spectral systems in Banach algebras

[3]

[Anonymous], 2007, OPERATOR THEORY FUNC

[4] Hardy spaces of Dirichlet series and their composition operators [J].

Bayart, F .

MONATSHEFTE FUR MATHEMATIK, 2002, 136 (03) :203-236

[5] Compact composition operators on a Hilbert space of Dirichlet series [J].

Bayart, FR .

ILLINOIS JOURNAL OF MATHEMATICS, 2003, 47 (03) :725-743

[6]

Bohr H, 1913, J REINE ANGEW MATH, V143, P203

[7]

Contreras M, 2011, J MATH ANAL APPL, V263, P224

[8]

Cowen C., 1995, Composition operators on spaces of analytic functions

[9] HERMITIAN WEIGHTED COMPOSITION OPERATORS ON H2 [J].

Cowen, Carl C. ;

Ko, Eungil .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2010, 362 (11) :5771-5801

[10] ISOMETRIES OF HP [J].

FORELLI, F .

CANADIAN JOURNAL OF MATHEMATICS, 1964, 16 (04) :721-&

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