Sesquilinear quantum stochastic analysis in Banach space

DOI10.1016/j.jmaa.2013.01.067zbMath1308.81125OpenAlexW2094891211MaRDI QIDQ2257771

Yanyan Li

Publication date: 2 March 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2013.01.067

zbMATH Keywords

Trotter product formulaquantum stochastic differential equationquantum stochastic cocyclequantum Wiener integral

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Applications of selfadjoint operator algebras to physics (46L60) Quantum stochastic calculus (81S25) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items (4)

Hyers-Ulam stability of differential operators on reproducing kernel function spaces ⋮ Quantum stochastic cocycles and completely bounded semigroups on operator spaces. II ⋮ Hyers-Ulam stability of differentiation operator on Hilbert spaces of entire functions ⋮ Quantum random walk approximation in Banach algebra

Cites Work

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• Quantum Ito's formula and stochastic evolutions
• On quantum stochastic differential equations
• Quantum stochastic convolution cocycles. II
• A quantum stochastic Lie-Trotter product formula
• Existence of quantum diffusions
• On the generators of quantum stochastic flows
• Quantum probability for probabilists.
• Symmetric Hilbert spaces and related topics. Infinitely divisible positive definite functions, continuous products and tensor products, Gaussian and Poissonian stochastic processes
• EXISTENCE OF FELLER COCYCLES ON A C*-ALGEBRA
• The Series Product and Its Application to Quantum Feedforward and Feedback Networks

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