The maximum Markovian self-adjoint extensions of generalized Schrödinger operators

DOI10.2969/jmsj/04410113zbMath0819.47061OpenAlexW2063286903MaRDI QIDQ1187569

Masayoshi Takeda

Publication date: 13 August 1992

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/04410113

zbMATH Keywords

Sobolev spacemaximal operatorMarkovian semigroupsselfadjoint operatorRadon measureFriedrichs extensiongeneralized Schrödinger operatorselfadjoint extensionMarkovian extensionsymmetric linear operator

Mathematics Subject Classification ID

Markov semigroups and applications to diffusion processes (47D07) Applications of operator theory in the physical sciences (47N50) Linear symmetric and selfadjoint operators (unbounded) (47B25) General theory of partial differential operators (47F05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Dilations, extensions, compressions of linear operators (47A20)

Related Items (11)

Sharp estimates for capacities and applications to symmetric diffusions ⋮ Two classes of extensions for generalized Schrödinger operators ⋮ Capacities, removable sets and \(L^p\)-uniqueness on Wiener spaces ⋮ Strong uniqueness of finite-dimensional Dirichlet operators with singular drifts ⋮ Removable sets and \(L^p\)-uniqueness on manifolds and metric measure spaces ⋮ Dirichlet operators on loop spaces: Essential self-adjointness and log-Sobolev inequality ⋮ Dirichlet operators: a priori estimates and uniqueness problems. II. ⋮ An approximate criterium of essential self-adjointness of Dirichlet operators ⋮ Uniqueness of Schrödinger operators restricted in a domain ⋮ Uniqueness of Dirichlet forms related to infinite systems of interacting Brownian motions ⋮ Differentiable measures and the Malliavin calculus

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