Complex symmetric C0-semigroups on the Fock space

被引：10

作者：

Pham Viet Hai ^{[1
]}

Le Hai Khoi ^{[1
]}

机构：

[1] Nanyang Technol Univ, Sch Phys & Math Sci, Div Math Sci, Singapore 637371, Singapore

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2017年 / 445卷 / 02期

关键词：

Fock space; Complex symmetry; Semigroup; Weighted composition operators; WEIGHTED COMPOSITION OPERATORS;

D O I：

10.1016/j.jmaa.2016.06.052

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we introduce a new concept in dynamical systems: the complex symmetric operator C-0-semigroups (groups) acting on Hilbert space. Using techniques of weighted composition operators we study these semigroups on the Fock space F-2 and show, in particular, that complex symmetric operator C-0-semigroups contain the familiar unitary semigroups as a proper subclass. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：1367 / 1389

页数：23

共 15 条

[1]

Engel K. J., 2000, One-parameter Semigroups for Linear Evolution Equations

[2]

Garcia S.R., 2014, Oper. Theory Adv. Appl, P171

[3] Complex symmetric operators and applications [J].

Garcia, SR ;

Putinar, M .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2006, 358 (03) :1285-1315

[4] Complex symmetric operators and applications II [J].

Garcia, Stephan Ramon ;

Putinar, Mihai .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2007, 359 (08) :3913-3931

[5] Mathematical and physical aspects of complex symmetric operators [J].

Garcia, Stephan Ramon ;

Prodan, Emil ;

Putinar, Mihai .

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2014, 47 (35)

[6]

Hai P.V., 2016, ACTA MATH VIETNAM

[7] Cyclic vectors in the Fock space over the complex plane [J].

Izuchi, KH .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2005, 133 (12) :3627-3630

[8]

Jafari F, 1997, MICH MATH J, V44, P239

[9] Complex symmetric weighted composition operators on H2(D) [J].

Jung, Sungeun ;

Kim, Yoenha ;

Ko, Eungil ;

Lee, Ji Eun .

JOURNAL OF FUNCTIONAL ANALYSIS, 2014, 267 (02) :323-351

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

Le, Trieu .

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

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