Commutativity-preserving operators on symmetric matrices

DOI10.1016/0024-3795(84)90032-6zbMath0547.15007OpenAlexW1981827096WikidataQ126400166 ScholiaQ126400166MaRDI QIDQ798732

Heydar Radjavi

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0024-3795(84)90032-6

zbMATH Keywords

symmetric matricescommutativity-preserving operators

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Commutativity of matrices (15A27) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items (18)

Similarity preserving linear maps on matrices ⋮ Maps on Matrix Algebras Preserving Commutativity ⋮ Chapter 4:algebraic sets, polynomials, and other functions ⋮ Chapter 7: linear preservers of relations on Matrix Spaces ⋮ Commutativity-preserving maps on Lie ideals of prime algebras. ⋮ Linear operators that strongly preserve commuting pairs of Boolean matrices ⋮ Linear preserver problems: A brief introduction and some special techniques ⋮ Additive mappings preserving commutativity ⋮ Normal-preserving linear transformations ⋮ Preserving commutativity ⋮ Commuting traces and commutativity preserving maps on triangular algebras. ⋮ Linear maps preserving commutativity ⋮ Additive rank-one preserving mappings on triangular matrix algebras ⋮ Commutativity preserving linear maps and Lie automorphisms of triangular matrix algebras ⋮ Linear operators that strongly preserve commuting pairs of fuzzy matrices ⋮ On operators preserving commutativity ⋮ Linear transformations on self-adjoint matrices: The preservation of rank-one-plus-scalar ⋮ Commutativity preserving linear maps and Lie automorphisms of strictly triangular matrix space

Cites Work

• Linear transformations on symmetric matrices that preserve commutativity
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