Positive maps which map the set of rank \(k\) projections onto itself

DOI10.1007/s11117-016-0432-2zbMath1378.46037arXiv1604.05717OpenAlexW2461897715MaRDI QIDQ2358785

Erling Størmer

Publication date: 16 June 2017

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.05717

zbMATH Keywords

Jordan algebraspositive mapsvector states

Mathematics Subject Classification ID

Linear operators on Banach algebras (47B48) States of selfadjoint operator algebras (46L30) Nonselfadjoint (sub)algebras in algebras with involution (46K50)

Related Items (4)

Wigner's type theorem in terms of linear operators which send projections of a fixed rank to projections of other fixed rank ⋮ A non-injective version of Wigner's theorem ⋮ Symmetry witnesses ⋮ Commutativity preserving transformations on conjugacy classes of finite rank self-adjoint operators

Cites Work

• Selected preserver problems on algebraic structures of linear operators and on function spaces
• Generalising Wigner's theorem
• Positive Linear Maps of Operator Algebras
• On the Jordan Structure of C ∗ -Algebras
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