MULTIPLIERS IN LOCALLY CONVEX *- ALGEBRAS

作者：Haralampidou Marina^*; Palacios Lourdes; Signoret Poillon Carlos J

来源：Rocky Mountain Journal of Mathematics, 2013, 43(6): 1931-1940.

DOI：10.1216/RMJ-2013-43-6-1931

• Preannihilator algebra
• locally m-convex H* -algebra
• locally C* -algebra
• Arens-Michael decomposition
• left (right) multiplier
• multiplier algebra
• perfect projective system
• perfect topological algebra

We consider a complete locally m-convex *- algebra with continuous involution, which is also a %26quot;perfect%26quot; projective limit, and describe its multiplier algebra, under a weaker topology, making it a locally C* -algebra. The same is applied in the case of certain locally convex H* -algebras.

• 出版日期2013