Some general techniques on linear preserver problems

By Alexander E. Guterman, Chi-Kwong Li, Peter Semrl. 2000

111 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Computational Theory and Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/4b34a37fc5fbc3c69422971635cc75ca251493aa

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Citations in the corpus

• Biseparating maps between operator algebras (2001, background): “More recently, maps that preserve spectrum, spectral radius, commutativity, normal elements, self-adjoint elements, nilpotents, idempotents, linear rank, disjointness, or other properties have been intensely investigated, see for example [5, 6, 8, 9, 11, 12, 13, 14, 15] and the references given ther”
• On operators preserving James’ orthogonality (2005, background): “These are the so-called linear preserver problems, see [3,5,10].”
• Maps preserving the idempotency of products of operators (2007, unknown): “[1,4,6,9,10]).”