Preservers of generalized orthogonality on finite dimensional real vector and projective spaces

DOI10.1080/03081080802335297zbMath1190.15029OpenAlexW2073395354MaRDI QIDQ3648448

Peter Šemrl, Leiba Rodman

Publication date: 26 November 2009

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

Full work available at URL: https://doi.org/10.1080/03081080802335297

zbMATH Keywords

projective spacevector spaceindefinite inner productsgeneralized orthogonalityorthogonality preserverinvertible linear operators

Mathematics Subject Classification ID

Elementary problems in Euclidean geometries (51M04) Quadratic and bilinear forms, inner products (15A63) Linear preserver problems (15A86)

Related Items (1)

Characterization of orthomaps on the Cayley plane

Cites Work

• Twistor space, Minkowski space and the conformal group
• Wigner's theorem on symmetries in indefinite metric spaces
• Generalized symmetry transformations on quaternionic indefinite inner product spaces: An extension of quaternionic version of Wigner's theorem
• An elementary proof of the fundamental theorem of projective geometry
• Orthogonality preserving transformations on indefinite inner product spaces: Generalization of Uhlhorn's version of Wigner's theorem
• Applying projective geometry to transformations on rank one idempotents
• Orthogonality preserving bijective maps on finite dimensional projective spaces over division rings
• Orthogonality preserving bijective maps on real and complex projective spaces

This page was built for publication: Preservers of generalized orthogonality on finite dimensional real vector and projective spaces