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.
Tschinke, F. (2011). C*-seminorms generated by families of biweights on partial *-algebras. In P. Aiena, S. Twareque, M. Letizia, L. Funar, R. Grimaldi, D. Jou, et al. (a cura di), Bollettino di Matematica pura e applicata (pp. 33-39). Roma : Aracne.
C*-seminorms generated by families of biweights on partial *-algebras
TSCHINKE, Francesco
2011-01-01
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.
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