Absolutely Convergent Extensions of Nonclosable Positive Linear Functionals

作者:Bellomonte Giorgia; Trapani Camillo*; Triolo Salvatore
来源:Mediterranean Journal of Mathematics, 2010, 7(1): 63-74.
DOI:10.1007/s00009-010-0027-2

摘要

The existence of extensions of a positive linear functional omega defined on a dense *- subalgebra U(0) of a topological *- algebra U, satisfying certain regularity conditions, is examined. The main interest is focused on the case where omega is nonclosable and sufficient conditions for the existence of an absolutely convergent extension of omega are given.

  • 出版日期2010-3