An algebraic invariant for Jordan automorphisms on \(\beta ( H )\): the set of idempotents

DOI10.1360/03ys0298zbMath1218.47059OpenAlexW2045565556MaRDI QIDQ551800

Jian Lian Cui, Jin-Chuan Hou

Publication date: 21 July 2011

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1360/03ys0298

zbMATH Keywords

idempotentsHilbert space operatorsJordan automorphisms

Mathematics Subject Classification ID

Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Related Items (2)

Maps leaving functional values of operator products invariant ⋮ Maps completely preserving idempotents and maps completely preserving square-zero operators

Cites Work

• Linear preserver problems: A brief introduction and some special techniques
• Maps on matrix algebras preserving idempotents
• Non-linear numerical radius isometries on atomic nest algebras and diagonal algebras.
• Hua's fundamental theorems of the geometry of matrices and related results
• Automorphisms of the poset of skew projections
• Sums of small numbers of idempotents
• Geometry of symmetric matrices over any field with characteristic other than two
• Numerical radius distance-preserving maps on $\mathcal {B}(H)$
• Numerical Radius Isometries
• Maps onB(H) Preserving Idempotents
• Geometries of Matrices. II. Study of Involutions in the Geometry of Symmetric Matrices
• Geometries of Matrices. III. Fundamental Theorems in the Geometries of Symmetric Matrices

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