A Characterization of C*-normed Algebras via Positive Functionals

作者：Haralampidou Marina^*; Oudadess Mohamed; Palacios Lourdes; Signoret Carlos

来源：Canadian Mathematical Bulletin, 2018, 61(1): 114-123.

DOI：10.4153/CMB-2017-023-1

• C*-normed algebra
• C*-algebra
• (pre-)locally C"-algebra
• pre-C*-bornological algebra
• positive functional
• locally uniformly A-convex algebra
• perfect locally m-convex algebra
• C*-subnormable algebra
• *-subnormable algebra

We give a characterization of C*-normed algebras, among certain involutive normed ones. This is done through the existence of enough specific positive functionals. The same question is also examined in some non normed (topological) algebras.

• 出版日期2018-3