Harmonic analysis of some classes of linear operators on a real Banach space

DOI10.1134/S0001434615050041zbMath1447.47024OpenAlexW2205236434MaRDI QIDQ745604

E. E. Dikarev, Dmitry M. Polyakov

Publication date: 14 October 2015

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434615050041

zbMATH Keywords

invariant subspacebounded linear operatorBanach modulereal Banach spaceBeurling spectrumdecomposable operatordecomposability in the sense of Foiaşsuperdecomposable operator

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) Operators on Banach spaces (47B01)

Related Items (2)

Spectral properties of the operators \(AB\) and \(BA\) ⋮ Spectral theory of functions in studying partial differential operators

Cites Work

• Spectral synthesis in Banach modules over commutative Banach algebras
• Introduction to the theory of Banach representations of groups. Transl. from the Russian by A. Jacob
• Three spectral notions for representations of commutative Banach algebras
• On representations with a separable spectrum
• Symmetric invariant subspaces of complexifications of linear operators
• Spectral theory of linear relations on real Banach spaces
• Weak spectral synthesis in commutative Banach algebras
• Representation theory for Banach algebras, Abelian groups, and semigroups in the spectral analysis of linear operators
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