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      <dc:title>Simultaneous orthogonalization of inner products over arbitrary fields.</dc:title>
      <dc:creator>Cabrera-Casado, Yolanda</dc:creator>
      <dc:creator>Gil-Canto, Cristóbal</dc:creator>
      <dc:creator>Martín-Barquero, Dolores</dc:creator>
      <dc:creator>Martín-González, Cándido</dc:creator>
      <dc:subject>Formas bilineales</dc:subject>
      <dc:subject>Formas (Matemáticas)</dc:subject>
      <dc:subject>Álgebra multilineal</dc:subject>
      <dc:description>https://www.springernature.com/gp/open-science/policies/book-policies</dc:description>
      <dc:description>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.</dc:description>
      <dc:date>2025-03-19T12:35:55Z</dc:date>
      <dc:date>2025-03-19T12:35:55Z</dc:date>
      <dc:date>2023</dc:date>
      <dc:type>book part</dc:type>
      <dc:identifier>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 &amp; Statistics, vol 427. Springer, Cham. (2023).</dc:identifier>
      <dc:identifier>https://hdl.handle.net/10630/38170</dc:identifier>
      <dc:identifier>10.1007/978-3-031-32707-0_14</dc:identifier>
      <dc:language>eng</dc:language>
      <dc:rights>open access</dc:rights>
      <dc:publisher>Springer</dc:publisher>
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