Maps on the sphere of the algebras of matrices

zbMath1361.15029MaRDI QIDQ317385

Osamu Hatori

Publication date: 30 September 2016

Published in: Nihonkai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.nihmj/1468334492

zbMATH Keywords

isometrymatrix normunit spherealgebra of matricesunitary matricesunitarily invariant normSchatten \(p\)-normsstrictly convex norm

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Algebraic systems of matrices (15A30) Isometric theory of Banach spaces (46B04) Linear preserver problems (15A86) Orthogonal matrices (15B10)

Related Items (2)

Tingley's problem on finite von Neumann algebras ⋮ The solution of Tingley's problem for the operator norm unit sphere of complex \(n\times n\) matrices

Cites Work

• Isometries of the unit sphere
• Jordan triple endomorphisms and isometries of unitary groups
• \(c_ p\)
• Unnamed Item

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