Representation formulas for cosine and sine functions of operators. II

DOI10.1007/BF02188173zbMath0647.47048MaRDI QIDQ1104539

Chun-San Lee, Sen-Yen Shaw, Wen-Lin Chiou

Publication date: 1986

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/137143

zbMATH Keywords

Korovkin type approximation theoremrepresentation formulas for strongly continuous cosine and sine families of linear operators on Banach spaces

Mathematics Subject Classification ID

Groups and semigroups of linear operators (47D03) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Approximation by positive operators (41A36) Groups and semigroups of linear operators, their generalizations and applications (47D99)

Related Items (4)

Exterior Dirichlet and Neumann problems and the linked ergodic inverse problems in the entire space ⋮ Rates for approximation of unbounded functions by positive linear operators ⋮ Representation formulas for C-semigroups ⋮ Semigroups of operators, cosine operator functions, and linear differential equations

Cites Work

• Representation formulas for cosine and sine functions of operators
• Approximation of unbounded functions and applications to representations of semigroups
• A representation formula for strongly continuous cosine families
• Ordinary differential equations in linear topological spaces. I
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