Normal and isometric weighted composition operators on the Fock space

Le, Trieu

doi:10.1112/blms/bdu046

Cited by 75 publications

(78 citation statements)

References 16 publications

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“…In this paper, we completely characterize isometric weighted composition operators on the Fock space of C N , which extends the corresponding result on the Fock space of complex plane in [7].…”

Section: Introductionmentioning

confidence: 80%

ISOMETRIC WEIGHTED COMPOSITION OPERATORS ON THE FOCK SPACE OF ℂ^N

Zhao¹

2016

Bulletin of the Korean Mathematical Society

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Section: Introductionmentioning

confidence: 80%

ISOMETRIC WEIGHTED COMPOSITION OPERATORS ON THE FOCK SPACE OF ℂ^N

Zhao¹

2016

Bulletin of the Korean Mathematical Society

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“…With a different approach than that used in [11] (where the role of adjoint operators in the Hilbert space F 2 is essential), in [6] we generalized Theorem 3.1 to the case F p (C), p > 1.…”

Section: Basic Facts For Weighted Composition Operatorsmentioning

confidence: 97%

Complex symmetric C0-semigroups on the Fock space

Hai

Khoi

2017

Journal of Mathematical Analysis and Applications

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Please cite this article in press as: P.V. Hai, L.H. Khoi, Complex symmetric C 0 -semigroups on the Fock space, J. Math. Anal. Appl. (2016), http://dx.Abstract. 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.

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“…which has been prove the definition of Fock space does not depend on the imaginary unit I ∈ S, (see, e.g. [13,Proposition 3.8]). The norm induced by the inner product is…”

Section: 2mentioning

confidence: 98%

A Left Linear Weighted Composition Operator on Quaternionic Fock Space

Liang

2019

Results Math

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In this paper, we study the weighted composition operator on the Fock space F 2 (H) of slice regular functions. First, we characterize the boundedness and compactness of the weighted composition operator. Subsequently, we describe all the isometric composition operators. Finally, we introduce a kind of (right)-anticomplex-linear weighted composition operator on F 2 (H) and obtain some concrete forms such that this (right)-anti-linear weighted composition operator is a (right)-conjugation. Specially, we present equivalent conditions ensuring weighted composition operators which are conjugate C a,b,c −commuting or complex C a,b,c − symmetric on F 2 (H), which generalized the classical results on F 2 (C). At last part of the paper, we exhibit the closed expression for the kernel function of F 2 (H).2010 Mathematics Subject Classification. Primary: 30G35, 47B38, 47B15, 30H20.

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Normal and isometric weighted composition operators on the Fock space

Abstract: We obtain new and simple characterizations for the boundedness and compactness of weighted composition operators on the Fock space over C. We also describe all weighted composition operators that are normal or isometric.

Cited by 75 publications

References 16 publications

ISOMETRIC WEIGHTED COMPOSITION OPERATORS ON THE FOCK SPACE OF ℂ^N

ISOMETRIC WEIGHTED COMPOSITION OPERATORS ON THE FOCK SPACE OF ℂ^N

Complex symmetric C0-semigroups on the Fock space

A Left Linear Weighted Composition Operator on Quaternionic Fock Space

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Normal and isometric weighted composition operators on the Fock space

Abstract: We obtain new and simple characterizations for the boundedness and compactness of weighted composition operators on the Fock space over C. We also describe all weighted composition operators that are normal or isometric.

Cited by 75 publications

References 16 publications

ISOMETRIC WEIGHTED COMPOSITION OPERATORS ON THE FOCK SPACE OF ℂN

ISOMETRIC WEIGHTED COMPOSITION OPERATORS ON THE FOCK SPACE OF ℂN

Complex symmetric C0-semigroups on the Fock space

A Left Linear Weighted Composition Operator on Quaternionic Fock Space

Contact Info

Product

Resources

About

ISOMETRIC WEIGHTED COMPOSITION OPERATORS ON THE FOCK SPACE OF ℂ^N

ISOMETRIC WEIGHTED COMPOSITION OPERATORS ON THE FOCK SPACE OF ℂ^N