RT Journal Article
T1 Simultaneous orthogonalization of inner products in infinite-dimensional vector spaces
A1 Cabrera-Casado, Yolanda
A1 Gil-Canto, Cristóbal
A1 Martín-Barquero, Dolores
A1 Martín-González, Cándido
K1 Álgebra lineal
K1 Análisis numérico
AB For an arbitrary field K and a family of inner products in a K-vector space V of arbitrary dimension, we study necessary and sufficient conditions in order to have a basis which is orthogonal relative to all the inner products. If the family contains a nondegenerate element plus a compatibility condition, then under mild hypotheses the simultaneous orthogonalization can be achieved. So we investigate several constructions whose purpose is to add a nondegenerate element to a degenerate family and we study under what conditions the enlarged family is nondegenerate.
PB Taylor and Francis
YR 2025
FD 2025
LK https://hdl.handle.net/10630/38168
UL https://hdl.handle.net/10630/38168
LA eng
NO Yolanda Cabrera Casado, Cristóbal Gil Canto, Dolores Martín Barquero y Cándido Martín González. Simultaneous orthogonalization of inner products in infinite-dimensional vector spaces. Linear and Multilinear Algebra, (2025).
NO https://openpolicyfinder.jisc.ac.uk/id/publication/5818
NO FQM-336UMA18-FEDERJA-119PID2019-104236GB-I00/AEI/10.13039/501100011033
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 1 mar 2026