On the equivalence of a theorem of Kisynski and the Hille-Yosida generation theorem

DOI10.1090/S0002-9939-98-04048-9zbMath0893.46044MaRDI QIDQ4383020

Wojciech Chojnacki

Publication date: 24 March 1998

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

resolventrepresentationone-parameter semigroupconvolution algebraHille-Yosida theoremBanach algebra homomorphismsoperator-valued one-parameter semigroups

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) One-parameter semigroups and linear evolution equations (47D06) Spectrum, resolvent (47A10) (L^1)-algebras on groups, semigroups, etc. (43A20) Representations of commutative topological algebras (46J25)

Related Items (6)

Unnamed Item ⋮ Algebra homomorphisms from cosine convolution algebras ⋮ On Wallen-type formulae for integrated semigroups and sine functions ⋮ Uniformly bounded limit of fractional homomorphisms ⋮ Operators \(L^{1}(\mathbb R_+) \to X\) and the norm continuity problem for semigroups ⋮ Algebra homomorphisms defined via convoluted semigroups and cosine functions

Cites Work

• Unnamed Item
• Geometrical properties of the unit sphere of Banach algebras
• Vector-valued Laplace transforms and Cauchy problems
• On representations, inversions, and approximations of laplace transforms in banach spaces

This page was built for publication: On the equivalence of a theorem of Kisynski and the Hille-Yosida generation theorem