Maps preserving $m$- isometries on Hilbert space

DOI10.11568/kjm.2019.27.3.735zbMath1439.15011OpenAlexW2977676962MaRDI QIDQ5204526

Alireza Majidi

Publication date: 4 December 2019

Full work available at URL: http://journal.kkms.org/index.php/kjm/article/download/805/490

zbMATH Keywords

\(C^*\)-algebraHilbert spaceisometrypreserving linear map

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Linear transformations, semilinear transformations (15A04) Transformers, preservers (linear operators on spaces of linear operators) (47B49) Linear preserver problems (15A86)

Related Items

Linear preservers of \(m\)-selfadjoint operators and high-order isometries

Cites Work

• Linear maps preserving \(G\)-unitary operators in Hilbert space
• Selected preserver problems on algebraic structures of linear operators and on function spaces
• Maps preserving quasi-isometries on Hilbert \(C^*\)-modules
• m-isometries on Banach spaces
• The unitary group preserving maps (the infinite dimensional case)
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