2026-05-27T05:23:21Zhttps://riuma.uma.es/rest/oai/request

oai:riuma.uma.es:10630/381682026-03-13T07:35:02Zcom_10630_2254col_10630_37953

Simultaneous orthogonalization of inner products in infinite-dimensional vector spaces Cabrera-Casado, Yolanda Gil-Canto, Cristóbal Martín-Barquero, Dolores Martín-González, Cándido Álgebra lineal Análisis numérico https://openpolicyfinder.jisc.ac.uk/id/publication/5818 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. 2025-03-19T12:02:54Z 2025-03-19T12:02:54Z 2025 journal article 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). https://hdl.handle.net/10630/38168 10.1080/03081087.2024.2447524 eng http://creativecommons.org/licenses/by-nc-nd/4.0/ open access Attribution-NonCommercial-NoDerivatives 4.0 Internacional Taylor and Francis