Algebra isomorphisms between standard operator algebras

DOI10.4064/sm191-2-4zbMath1179.47035OpenAlexW2135439791MaRDI QIDQ5504537

Aaron Luttman, Thomas V. Tonev

Publication date: 22 January 2009

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

Full work available at URL: https://doi.org/10.4064/sm191-2-4

zbMATH Keywords

spectrumperipheral spectrumalgebra isomorphismstandard operator algebraperipherally-multiplicative map

Mathematics Subject Classification ID

Automatic continuity (46H40) Algebras of operators on Banach spaces and other topological linear spaces (47L10) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Related Items (16)

Jordan product and local spectrum preservers ⋮ Additively spectral-radius preserving surjections between unital semisimple commutative Banach algebras ⋮ Preservers of eigenvalue inclusion sets of matrix products ⋮ Maps preserving peripheral spectrum of generalized Jordan products of operators ⋮ Generalizations of weakly peripherally multiplicative maps between uniform algebras ⋮ Nonlinear maps preserving the reduced minimum modulus of operators ⋮ Determining elements in Banach algebras through spectral properties ⋮ Maps preserving peripheral spectrum of generalized Jordan products of self-adjoint operators ⋮ Transformations of the unitary group on a Hilbert space ⋮ Maps preserving the local spectrum of Jordan product of matrices ⋮ A ternary characterization of automorphisms of \({\mathbb B}({\mathcal H})\) ⋮ Maps preserving peripheral spectrum of Jordan semi-triple products of operators ⋮ Maps preserving peripheral spectrum of generalized products of operators ⋮ Nonlinear maps preserving the minimum and surjectivity moduli ⋮ Norm-linear and norm-additive operators between uniform algebras ⋮ A generalization of peripherally-multiplicative surjections between standard operator algebras

This page was built for publication: Algebra isomorphisms between standard operator algebras