Hilbert norms for graded algebras

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

This paper presents a solution to a problem from superanalysis about the existence of Hilbert-Banach superalgebras. Two main results are derived: 1) There exist Hilbert norms on some graded algebras (infinite-dimensional superalgebras included) with respect to which the multiplication is continuous. 2) Such norms cannot be chosen to be submultiplicative and equal to one on the unit of the algebra.
8 pages, extended introduction and list of references

Keywords

Functional Analysis, Operator Algebras, 16W50, 46C05, 46H25

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/33419

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/funct-an/9712005
 http://arxiv.org/abs/funct-an/9712005
 Proc. Amer. Math. Soc. 128 (1999) 1647-1653

Collections

arXiv