Infinite differentiability of Hermitian and positive \(C\)-semigroups and \(C\)-cosine functions

DOI10.2977/PRIMS/1195144424zbMath1010.47025OpenAlexW2070652389MaRDI QIDQ1974504

Sen-Yen Shaw, Yuan-Chuan Li

Publication date: 18 May 2003

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195144424

zbMATH Keywords

Hermitian operatorpositive operatorinfinitely differentiableC-semigroupC-cosine function

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Operator sine and cosine functions and higher-order Cauchy problems (47D09) (C)-semigroups, regularized semigroups (47D60)

Related Items (2)

Integrated semigroups and \(C\)-semigroups and their applications ⋮ Differential and analytical properties of semigroups of operators

Cites Work

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• On generators of integrated \(C\)-semigroups and \(C\)-cosine functions
• Ordinary differential equations in linear topological spaces. I
• The Cauchy Problem and a Generalization of the Hille-Yosida Theorem

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