Representable linear functionals on partial ∗-algebras

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Abstract

A GNS-like *-representation of a partial *-algebra A definedby certain representable linear functionals on A is constructed. Thestudy of the interplay with the GNS construction associated with invariantpositive sesquilinear forms (ips) leads to the notions of pre-coreand of singular form. It is shown that a positive sesquilinear form withpre-core always decomposes into the sum of an ips form and a singular one.
Lingua originaleEnglish
pagine (da-a)153-163
Numero di pagine11
RivistaMediterranean Journal of Mathematics
Volume9
Stato di pubblicazionePublished - 2012

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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