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FRANCESCO TSCHINKE

C*-seminorms generated by families of biweights on partial *-algebras

  • Authors: Tschinke, F
  • Publication year: 2011
  • Type: Capitolo o Saggio (Capitolo o saggio)
  • Key words: Partial *-algebra, C*-seminorms, bounded element
  • OA Link: http://hdl.handle.net/10447/64908

Abstract

If A[t] is a topological partial *-algebra with unit, topologized by the family of seminorms {p_a}, the notion of bounded element is defined, and some conditions to obtain an unbounded C*-seminorm q(x)=sup p_a(x) on A[t] with domain the subalgebra of bounded elements of A[t] are given.