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.
|Numero di pagine||11|
|Rivista||Mediterranean Journal of Mathematics|
|Stato di pubblicazione||Published - 2012|
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