Linear preservers on spaces of Hermitian or real symmetric matrices

DOI10.1016/0024-3795(93)90425-NzbMath0776.15007MaRDI QIDQ2365675

Raphael Loewy, Ehud Moshe Baruch

Publication date: 29 June 1993

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

zbMATH Keywords

Hermitian matricessymmetric matriceslinear preserversinertia class

Mathematics Subject Classification ID

Hermitian, skew-Hermitian, and related matrices (15B57) Algebraic systems of matrices (15A30)

Related Items (10)

Linear preservers of balanced singular inertia classes ⋮ Preservers of restricted unitary orbits of projections ⋮ Linear preservers of decomposable tensors ⋮ Additive rank-1 preservers between spaces of Hermitian matrices ⋮ Rank preservers on spaces of symmetric matrices ⋮ Additive rank-1 preservers between Hermitian matrix spaces and applications ⋮ Preservers of maximally entangled states ⋮ Additive mappings between Hermitian matrix spaces preserving rank not exceeding one ⋮ Linear maps preserving pairs of Hermitian matrices on which the rank is additive and applications ⋮ The automorphism group of separable states in quantum information theory

Cites Work

• Unnamed Item
• Linear maps which preserve a balanced nonsingular inertia class
• Linear transformations which preserve or decrease rank
• Additive mappings between Hermitian matrix spaces preserving rank not exceeding one
• Signature preserving linear maps of Hermitian matrices
• Linear Maps That Preserve an Inertia Class
• Linear transformations
• Linear Maps on Hermitian Matrices: The Stabilizer of an Inertia Class
• Linear maps on Hermitian matrices: the stabilizer of an inertia class, II
• Linear maps preserving rank less than or equal to one
• Linear transformations on symmetric matrices
• Linear mappings which are rank-knonincreasing^*

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