On group decompositions of bounded cosine sequences

DOI10.4064/sm181-1-5zbMath1137.47035OpenAlexW2090686557MaRDI QIDQ5293333

Wojciech Chojnacki

Publication date: 29 June 2007

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/sm181-1-5

zbMATH Keywords

cosine functioncosine sequencedoubly power bounded operatorgroup decompositionscalar-type prespectral operator

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Groups and semigroups of linear operators (47D03) Operator sine and cosine functions and higher-order Cauchy problems (47D09) Spectral operators, decomposable operators, well-bounded operators, etc. (47B40) Matrix and operator functional equations (39B42)

Related Items (10)

Integrated semigroups and \(C\)-semigroups and their applications ⋮ On approximation of coefficient inverse problems for differential equations in functional spaces ⋮ Functional equations of Cauchy’s and d’Alembert’s Type on Compact Groups ⋮ An extension of a variant of d'Alemberts functional equation on compact groups ⋮ Resolvent characterisation of generators of cosine functions and \(C_0\)-groups ⋮ Schauder theory for Dirichlet elliptic operators in divergence form ⋮ Second order equations in functional spaces: qualitative and discrete well-posedness ⋮ Solution of a functional equation on compact groups using Fourier analysis ⋮ Bounded cosine functions close to continuous scalar bounded cosine functions ⋮ Generalized small-dimension lemma and d'Alembert type functional equation on compact groups

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