Orthogonality preserving bijective maps on finite dimensional projective spaces over division rings

DOI10.1080/03081080701395772zbMath1161.15003OpenAlexW2073953788WikidataQ114100623 ScholiaQ114100623MaRDI QIDQ3535386

Peter Šemrl, Leiba Rodman

Publication date: 11 November 2008

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

Full work available at URL: https://doi.org/10.1080/03081080701395772

zbMATH Keywords

projective spaceindefinite inner productsskew fieldsorthogonality preserving mapsemi-sesquilinear inner product

Mathematics Subject Classification ID

Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Linear transformations, semilinear transformations (15A04) Quadratic and bilinear forms, inner products (15A63) Classical or axiomatic geometry and physics (51P05)

Related Items (5)

Orthogonality preserving property for pairs of operators on Hilbert \(C^*\)-modules ⋮ Characterization of orthomaps on the Cayley plane ⋮ Maps preserving matrix pairs with zero Jordan product ⋮ Preservers of generalized orthogonality on finite dimensional real vector and projective spaces ⋮ Strong commutativity preserving maps in prime rings with involution.

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