scientific article; zbMATH DE number 783541

zbMath0865.47028MaRDI QIDQ4843154

Shmuel Kantorovitz

Publication date: 9 August 1995

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

exponential formulasabstract Cauchy problemreflexive Banach spacesspectral theorycosine operator functionsStone theoremHille-Yosida theorysecond order abstract Cauchy problemsemi-simplicity manifold\(C_ 0\)-groupLaplace-Stieltjes spaceTrotter-Kato convergence theoremnon-commutative Taylor formulaanalyticity problemexistence of a spectral measureHille-Phillips perturbation theoremintegrated Laplace spacepre-semigroupsemigroups of unbounded symmetric operatorsspectral integral representation of semigroups of closed operators

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Research exposition (monographs, survey articles) pertaining to operator theory (47-02) Operator sine and cosine functions and higher-order Cauchy problems (47D09) Spectral operators, decomposable operators, well-bounded operators, etc. (47B40)

Related Items (7)

Rigidity and parametric embedding of semi-complete vector fields on the unit disk ⋮ Spectral equality for \(C_0\) semigroups ⋮ Integrated semigroups and \(C\)-semigroups and their applications ⋮ Analytic families of semigroups ⋮ Operator self-similar processes on Banach spaces ⋮ Symmetric operators and reproducing kernel Hilbert spaces ⋮ Spectral representation of local symmetric semigroups of operators

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