Complex symmetric weighted composition operators on the Fock space in several variables

DOI10.1080/17476933.2017.1315108zbMath1390.32001OpenAlexW2732171730MaRDI QIDQ5374198

Pham Viet Hai, Le Hai Khoi

Publication date: 9 April 2018

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10220/50354

zbMATH Keywords

Fock spaceconjugationweighted composition operatorentire functions on \(\mathbb C^n\)anti-linear operatorcomplex-symmetric operator

Mathematics Subject Classification ID

Linear composition operators (47B33) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37) Entire functions of several complex variables (32A15)

Related Items (13)

Unitary, self-adjoint and ᵊ5-symmetric weighted composition operators on Fock-Sobolev spaces ⋮ -selfadjoint product of a composition operator and a maximal differential operator on the Fock space ⋮ Numerical range of weighted composition operators on the Fock space ⋮ Complex symmetry of linear combinations of composition operators on the Fock space ⋮ Complex symmetric weighted composition-differentiation operators ⋮ A note on \(C\)-normal weighted composition operators on the Fock space in several variables ⋮ Understanding partial \(\mathcal{PT}\) symmetry as weighted composition conjugation in reproducing kernel Hilbert space: an application to non-Hermitian Bose-Hubbard type Hamiltonian in Fock space ⋮ Complex symmetric weighted composition operators on \(\mathcal{H}_\gamma(\mathbb{D})\) ⋮ Complex symmetry of generalized weighted composition operators on Fock space ⋮ Unnamed Item ⋮ Complex symmetric weighted composition operators on the space ⋮ Complex symmetry of first-order differential operators on Hardy space ⋮ A new boson realization of fusion polynomial algebras in non-Hermitian quantum mechanics: γ-deformed su(2) generators, PT -symmetry in Fock space and Higgs algebra

Cites Work

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• ISOMETRIC WEIGHTED COMPOSITION OPERATORS ON THE FOCK SPACE OF ℂ^N
• Complex symmetric operators and applications II
• Which Weighted Composition Operators are Complex Symmetric?
• Normal and isometric weighted composition operators on the Fock space
• Complex symmetric operators and applications
• Unnamed Item

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