An estimate of the Kac transfer operator

DOI10.1006/jfan.1996.3024zbMath0919.47031OpenAlexW2074028677MaRDI QIDQ1354609

Michelle Schatzman, Boun Oumar Dia

Publication date: 10 February 1999

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1996.3024

zbMATH Keywords

Schrödinger operatorholomorphic semigroupsexponential groupestimates of commutatorsKac transfer operator

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Linear operators on function spaces (general) (47B38) Positive linear operators and order-bounded operators (47B65)

Related Items (11)

Estimate of the difference between the Kac operator and the Schrödinger semigroup ⋮ On the error estimate of the integral kernel for the Trotter product formula for Schrödinger operators ⋮ Strang's formula for holomorphic semi-groups ⋮ Convergence of a splitting method of high order for reaction-diffusion systems ⋮ Convergence stability and estimator in orbital free electronic structure calculation on a grid at finite temperature ⋮ The norm estimate of the difference between the Kac operator and the Schrödinger semigroup: A unified approach to the nonrelativistic and relativistic cases ⋮ Sharp Error Bound on Norm Convergence of Exponential Product Formula and Approximation to Kernels of Schrödinger Semigroups ⋮ Remarks on decay of correlations and Witten Laplacians Brascamp-Lieb inequalities and semiclassical limit ⋮ Stability of the Peaceman-Rachford approximation ⋮ An operator-theoretic proof of an estimate on the transfer operator ⋮ On the norm convergence of the self-adjoint Trotter-Kato product formula with error bound

Cites Work

• Commutateurs de certains semi-groupes holomorphes et applications aux directions alternées
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