Algebra homomorphisms defined via convoluted semigroups and cosine functions

DOI10.1016/j.jfa.2009.07.017zbMath1190.47045OpenAlexW2001573989MaRDI QIDQ1039411

Valentin Keyantuo, Carlos Lizama, Pedro José Miana

Publication date: 30 November 2009

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2009.07.017

zbMATH Keywords

pseudo-resolventalgebra homomorphismsconvoluted transformk-convoluted family

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) One-parameter semigroups and linear evolution equations (47D06) Operator sine and cosine functions and higher-order Cauchy problems (47D09)

Related Items (9)

On a functional equation associated with \((a, k)\)-regularized resolvent families ⋮ Sharp extensions for convoluted solutions of abstract Cauchy problems ⋮ Convolution algebraic structures defined by Hardy-type operators ⋮ On a characteristic of cosine functions ⋮ Cesàro sums and algebra homomorphisms of bounded operators ⋮ On boundary values of fractional resolvent families ⋮ Quasi-equicontinous exponential families of generalized function \(C\)-semigroups in locally convex spaces ⋮ A characteristic of fractional resolvents ⋮ Sharp extensions and algebraic properties for solution families of vector-valued differential equations

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