The unitary group preserving maps (the infinite dimensional case)

DOI10.1080/03081088708817766zbMath0637.46050OpenAlexW2055541170MaRDI QIDQ3776883

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Publication date: 1987

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081088708817766

zbMATH Keywords

isometryunitary operatorJordan algebraJordan automorphismskew- hermitian operatorunitary group preserving maps

Mathematics Subject Classification ID

Abstract operator algebras on Hilbert spaces (47L30) Jordan structures on Banach spaces and algebras (17C65) Nonassociative topological algebras (46H70)

Related Items (13)

Unitarily invariant norms on operators ⋮ On linear maps that preserve G-partial-isometries in Hilbert space ⋮ Linear maps preserving essentially numerical range and essentially unitary operator ⋮ Linear maps preserving \(G\)-quasi-isometry operators ⋮ A localization technique for linear preserver problems ⋮ Preservers of unitary group or equivalence by unitaries ⋮ Linear preservers of \(m\)-selfadjoint operators and high-order isometries ⋮ A class of unitarily invariant norms on 𝐵(𝐻) ⋮ Linear preservers of equivalence relations on infinite-dimensional spaces ⋮ Linear maps preserving \(G\)-unitary operators in Hilbert space ⋮ Linear preservers on powers of matrices ⋮ Maps preserving quasi-isometries on Hilbert \(C^*\)-modules ⋮ Maps preserving $m$- isometries on Hilbert space

Cites Work

• Unnamed Item
• On semi-automorphisms of division algebras
• Algebras of type I

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