The Trotter-Kato product formula for Gibbs semigroups

DOI10.1007/BF02161418zbMath0717.47011MaRDI QIDQ2638492

Hagen Neidhardt, Valentin A. Zagrebnov

Publication date: 1990

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Gibbs semigroupsconvergence in the Trotter-Kato product formulatrace topology

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Groups and semigroups of linear operators (47D03)

Related Items

Trace norm convergence of exponential product formula ⋮ Fractional powers of self-adjoint operators and Trotter-Kato product formula ⋮ Trotter–Kato product formula in symmetric F-normed ideals ⋮ Gibbs measures of nonlinear Schrödinger equations as limits of many-body quantum states in dimensions \({d \leqslant 3}\) ⋮ Trotter Product Formula for Non-self-Adjoint Gibbs Semigroups ⋮ A non-commutative central limit theorem ⋮ Convergence of operator semigroups associated with generalised elliptic forms ⋮ Accretive perturbations and error estimates for the Trotter product formula ⋮ Approximation of the semigroup generated by the Hamiltonian of Reggeon field theory in Bargmann space ⋮ Trotter-Kato product formula and symmetrically normed ideals

Cites Work

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• Perturbations of Gibbs semigroups
• On the families of Gibbs semigroups
• The product formula for semigroups defined by Friedrichs extensions
• Two theorems about \(C_p\)
• On the Product of Semi-Groups of Operators
• The Trotter–Lie product formula for Gibbs semigroups
• On the Trotter-Lie product formula
• Product formulas, nonlinear semigroups, and addition of unbounded operators