Comptes Rendus
Analyse mathématique
Normes des extensions quaternionique d'opérateurs réels
[Norms of quaternionic extensions of real operators]
Comptes Rendus. Mathématique, Volume 340 (2005) no. 9, pp. 639-643.

We consider bounded linear operators defined on real normed spaces, and with range in quaternionic spaces. We study the norms of the quaternionic extensions of such operators.

Nous considérons des opérateurs linéaires bornés définis sur des espaces normés réels, et dont les images sont dans des espaces quaternioniques. Nous étudions les normes des extensions quaternioniques de ces opérateurs.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2005.03.030

Daniel Alpay 1; Maria-Elena Luna-Elizarrarás 2; Michael Shapiro 2

1 Department of Mathematics, Ben–Gurion University of the Negev, Beer-Sheva 84105, Israel
2 Departamento de Matemáticas, Escuela Superior de Física y Mathemáticas, Instituto Politécnico Nacional, 07300 México, D.F., México
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Daniel Alpay; Maria-Elena Luna-Elizarrarás; Michael Shapiro. Normes des extensions quaternionique d'opérateurs réels. Comptes Rendus. Mathématique, Volume 340 (2005) no. 9, pp. 639-643. doi : 10.1016/j.crma.2005.03.030. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2005.03.030/

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