Representation formulas for C-semigroups

DOI10.1007/BF02573554zbMath0816.47046OpenAlexW2088393949MaRDI QIDQ1206792

Yuan-Chuan Li, Sen-Yen Shaw

Publication date: 1 April 1993

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/135220

zbMATH Keywords

Korovkin-type approximation theoremKendall's and Hille's formulasrepresentation formulas for \(C_ 0\)-semigroups and cosine operator functionsrepresentation formulas for \(C\)-semigroups

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Operator sine and cosine functions and higher-order Cauchy problems (47D09) Approximation by positive operators (41A36)

Related Items

Integrated semigroups and \(C\)-semigroups and their applications

Cites Work

• Exponentially bounded C-semigroups and integrated semigroups
• On the exponentially bounded C-semigroups
• Representation formulas for cosine and sine functions of operators. II
• Approximation of unbounded functions and applications to representations of semigroups
• On the generators of exponentially bounded C-semigroups
• Integrated semigroups, C-semigroups and the abstract Cauchy problem
• The Cauchy Problem and a Generalization of the Hille-Yosida Theorem