Positivity and monotonicity properties of \(C_ 0-\)semigroups. I

DOI10.1007/BF01962592zbMath0453.47020MaRDI QIDQ1149105

Akitaka Kishimoto, Ola Bratteli, Derek W. Robinson

Publication date: 1980

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

zbMATH Keywords

positivity preserving contraction semigroups

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) Groups and semigroups of linear operators (47D03) General theory of partial differential operators (47F05)

Related Items

Differential equations in a Banach space ⋮ Quantum Griffiths inequalities ⋮ Monotonicity of the polaron energy. II: General theory of operator monotonicity ⋮ Positivity and monotonicity properties of \(C_ 0-\)semigroups. II ⋮ An abstract approach to weak convergence of spectral shift functions and applications to multi-dimensional Schrödinger operators ⋮ The Trotter–Lie product formula for Gibbs semigroups ⋮ Rigorous results concerning the Holstein-Hubbard model ⋮ Heat kernel bounds for elliptic partial differential operators in divergence form with Robin-type boundary conditions ⋮ An uncertainty principle for fermions with generalized kinetic energy ⋮ Discrete spectrum in the gaps of a perturbed pseudorelativistic Hamiltonian

Cites Work

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• Espaces de Dirichlet. I: Le cas élémentaire
• Domination of semigroups and generalization of Kato's inequality
• Kato's inequality and the comparison of semigroups
• Über monotone Matrixfunktionen
• On the generation of semigroups of linear operators
• Monotone and Convex Operator Functions