RENDALLNULLS THEOREMS AND THE UNIQUE DETERMINATION OF THE INNER PRODUCT IN REPRESENTATION OF ALGEBRAS / TEOREMAS DE RENDALL E A UNICIDADE DO PRODUTO INTERNO EM REPRESENTAÇÕES DE ÁLGEBRAS
AUTOR(ES)
ALDO FERREIRA DA SILVA
DATA DE PUBLICAÇÃO
2004
RESUMO
This thesis is concerned with a paper from Alan D. Rendall named Unique determination of an inner product by adjointness relations in the algebra of quantum observables, in which is proved that given a *- representation of a *-algebra in a pre-Hilbert space V irreducible with regard to the inner product defined in V we can assure the uniqueness of the inner product up to a multiplicative constant subject to some technical conditions. We also make a brief study about algebra representations and the Gelfand-Naimark- Segal Construction is presented.
ASSUNTO(S)
aplicacoes simetricas simmetric operators rendalls theorem representacao teorema de rendall algebra representation indice de deficiencia deficiency index algebra
