Topological Radicals, V. From Algebra to Spectral Theory

DOI10.1007/978-3-0348-0502-5_12zbMath1321.46050arXiv1208.4609OpenAlexW1769303599MaRDI QIDQ5244888

Yuriĭ V. Turovskiĭ, Viktor S. Shul'man

Publication date: 31 March 2015

Published in: Operator Theory: Advances and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.4609

zbMATH Keywords

spectral radiusspectrumjoint spectral radiusradicalprocedure\(C^{\ast}\)-algebraalgebrasocleprimitive idealoperationBerger-Wang formulaheredity\(Q\)-algebrapreradicalBanach idealcentralizationsuperposition procedureEngel algebraprimitive mapscattered radicalconvolution procedureprimitivity proceduretensor radiustransfinite chain

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Representations of topological algebras (46H15) Structure, classification of topological algebras (46H20) Algebras of operators on Banach spaces and other topological linear spaces (47L10)

Related Items (9)

Commutativity of central sequence algebras ⋮ Derivations mapping into scattered operators ⋮ On the theory of topological radicals ⋮ Relations and radicals in abstract lattices and in lattices of subspaces of Banach spaces and of ideals of Banach algebras. Amitsur's theory revisited ⋮ Halmos problems and related results in the theory of invariant subspaces ⋮ Perturbation theory for the socle in Banach algebras ⋮ Continuity of spectral radius and type I $C^*$-algebras ⋮ Topological radicals, VI. Scattered elements in Banach Jordan and associative algebras ⋮ Relations and trails in lattices of projections in W*-algebras

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