Hilbert modules over pro-C*-algebras

Subject Areas : Applied Mathematics

M. Azhini ¹ , N. Haddadzadeh ²

1 - Department of Mathematics, Science and Research Branch, Islamic Azad university, Tehran, Iran
2 - Department of Mathematics, Science and Research Branch, Islamic Azad university, Tehran, Iran

Received: 2015-09-17 Accepted : 2015-09-17 Published : 2014-12-01

Keywords: Pro-C*-algebra, -C*-algebra, Hilbert modules, Bounded module maps, Inverse system,

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 aHilbert module over a pro-C*-algebra A.

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