Title of article :
Hilbert modules over pro-C*-algebras
Author/Authors :
Azhini, M. Department of Mathematics - Science and Research Branch, Islamic Azad university , Haddadzadeh, N. Department of Mathematics - Science and Research Branch, Islamic Azad university
Abstract :
In this paper, we generalize some results from Hilbert C*-modules to pro-C*-algebra case. We also give a new proof of the known result that l2(A) is a Hilbert module over a pro-C*-algebra A.
Keywords :
Pro-C*-algebra , σ-C*-algebra , Hilbert modules , Bounded module maps , Inverse system
Journal title :
نظريه تقريب و كاربردهاي آن
