One-sided division absolute valued algebras.

Título inglés One-sided division absolute valued algebras.
Título español Algebras absolutamente valuadas con división unilateral.
Autor/es Rodríguez Palacios, Ana
Organización Dep. Anál. Mat. Fac. Cien. Univ. Granada, Granada, España
Revista 0214-1493
Publicación 1992, 36 (2B): 925-954, 27 Ref.
Tipo de documento articulo
Idioma Inglés
Resumen inglés We develop a structure theory for left divsion absolute valued algebras which shows, among other things, that the norm of such an algebra comes from an inner product. Moreover, we prove the existence of left division complete absolute valued algebras with left unit of arbitrary infinite hilbertian division and with the additional property that they have nonzero proper closed left ideals. Our construction involves results from the representation theory of the so called "Canonical Anticommutation Relations" in Quantum Mechanics. We also show that homomorphisms from complete normed algebras into arbitrary absolute valued algebras are contractive, hence automatically continuous.
Código MathReviews MR1210027
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