Analytic characterization for Hilbert-Schmidt operators on Fock space

DOI10.1007/s10114-004-0456-6zbMath1082.81056OpenAlexW2060988797MaRDI QIDQ2581207

Xiang Jun Wang, Cai-shi Wang, Zhi Yuan Huang

Publication date: 9 January 2006

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-004-0456-6

zbMATH Keywords

Fock spaceHilbert-Schmidt operatorFréchet entire map

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) White noise theory (60H40) Quantum stochastic calculus (81S25) Distributions on infinite-dimensional spaces (46F25)

Related Items (4)

$\delta $-function of an operator: A white noise approach ⋮ A moment characterization of \(B\)-valued generalized functionals of white noise ⋮ A \(W\)-transform-based criterion for the existence of bounded extensions of \(E\)-operators. ⋮ QUANTUM TANAKA FORMULA IN TERMS OF QUANTUM BROWNIAN MOTION

Cites Work

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• Stochastic integral representation of bounded quantum martingales in Fock space
• A characterization of Hida distributions
• A characterization theorem for operators on white noise functionals
• An analytic characterization of symbols of operators on white noise functionals
• Non-commutative chaotic expansion of Hilbert-Schmidt operators on Fock space
• A filtration of Wick algebra and its application to quantum SDEs
• Quantum white noises—White noise approach to quantum stochastic calculus
• Quantum cable equations in terms of generalized operators

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