Hilbert modules over pro-C*-algebras
محورهای موضوعی : Applied Mathematics
M. Azhini
1
(Department of Mathematics, Science and Research Branch, Islamic Azad
university, Tehran, Iran)
N. Haddadzadeh
2
(Department of Mathematics, Science and Research Branch, Islamic Azad
university, Tehran, Iran)
کلید واژه: Pro-C*-algebra, -C*-algebra, Hilbert modules, Bounded module maps, Inverse system,
چکیده مقاله :
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.
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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