Determining elements in Banach algebras through spectral properties

DOI10.1016/j.jmaa.2012.03.058zbMath1251.46023arXiv1204.4925OpenAlexW2963669820MaRDI QIDQ432351

Špela Špenko, Matej Brešar

Publication date: 4 July 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.4925

zbMATH Keywords

Banach algebraspectral radiusspectrum\(C^{\ast }\)-algebra

Mathematics Subject Classification ID

General theory of topological algebras (46H05)

Related Items

Orthogonally additive polynomials on Banach function algebras ⋮ Truncation and spectral variation in Banach algebras ⋮ Isometries of the special orthogonal group ⋮ Identifying derivations through the spectra of their values ⋮ Orthogonally Additive Polynomials and Orthosymmetric Maps in Banach Algebras with Properties 𝔸 and 𝔹 ⋮ Numerical radius and product of elements in C*-algebras ⋮ Recent progress on local spectrum-preserving maps ⋮ The joint numerical radius on 𝐶*-algebras ⋮ The (\(n,\epsilon\))-pseudospectrum of an element of a Banach algebra ⋮ Determining elements in \(C^\ast\)-algebras through spectral properties ⋮ A spectral characterization of isomorphisms on \(C^\star\)-algebras ⋮ Finite dimensional zero product determined algebras are generated by idempotents ⋮ Uniqueness under spectral variation in the socle of a Banach algebra ⋮ Maps between Banach algebras preserving the spectrum ⋮ Spectra of elements in operator space tensor products of \(\mathrm{C}^{\ast}\)-algebras

Cites Work

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