RT Book, Section T1 Simultaneous orthogonalization of inner products over arbitrary fields. A1 Cabrera-Casado, Yolanda A1 Gil-Canto, Cristóbal A1 Martín-Barquero, Dolores A1 Martín-González, Cándido K1 Formas bilineales K1 Formas (Matemáticas) K1 Álgebra multilineal AB We give necessary and sufficient conditions for a family of inner products in a finite-dimensional vector space V over an arbitrary field K to have an orthogonal basis relative to all the inner products. Some applications to evolution algebras are also considered. PB Springer YR 2023 FD 2023 LK https://hdl.handle.net/10630/38170 UL https://hdl.handle.net/10630/38170 LA eng NO Yolanda Cabrera Casado, Cristóbal Gil Canto, Dolores Martín Barquero y Cándido Martín González. Simultaneous orthogonalization of inner products over arbitrary fields. Non-Associative Algebras and Related Topics. NAART 2020, pages 213-230. Springer Proceedings in Mathematics & Statistics, vol 427. Springer, Cham. (2023). NO https://www.springernature.com/gp/open-science/policies/book-policies NO PID2019-104236GB-I00FQM-336UMA18-FEDERJA-119 DS RIUMA. Repositorio Institucional de la Universidad de Málaga RD 21 ene 2026