6533b7d0fe1ef96bd125a203

RESEARCH PRODUCT

Some seminorms on quasi*-algebras

Camillo Trapani

subject

AlgebraSesquilinear formGeneral MathematicsNuclear spaceAlgebra over a fieldMathematics

description

Dieren t types of seminorms on a quasi -algebra (A; A0) are constructed from a suitable family F of sesquilinear forms on A. Two particular classes, extended C -seminorms and CQ -seminorms, are studied in some detail. A necessary and sucien t condition for the admissibility of a sesquilinear form in terms of extended C -seminorms on (A; A0) is given.

https://doi.org/10.4064/sm158-2-1