\(C\)-spectrality of the Schrödinger operator in \(L^p\) spaces

DOI10.1016/S0893-9659(96)00112-7zbMath0898.47038MaRDI QIDQ1370428

Ralph J. De Laubenfels, Hassan Emamirad

Publication date: 26 October 1997

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

Schrödinger operatorDirichlet boundary condition\(C\)-regularized functional calculus\(C\)-regularized scalar operatorKato's class of potentials

Mathematics Subject Classification ID

Functional calculus for linear operators (47A60) General theory of partial differential operators (47F05) Schrödinger operator, Schrödinger equation (35J10) Spectral operators, decomposable operators, well-bounded operators, etc. (47B40)

Related Items (1)

Abel ergodic properties and spectral decomposition for locally integrable semigroups

Cites Work

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• The spectrum of a Schrödinger operator in \(L_ p({\mathbb{R}}^{\nu})\) is p-independent
• Existence families, functional calculi and evolution equations
• Regularized scalar operators
• Schrödinger semigroups
• Boundary Values of Holomorphic Semigroups

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