Hilbert modules over pro-C*-algebras

الموضوعات :

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

تاريخ الإرسال : 04 الخميس , ذو الحجة, 1436 تاريخ التأكيد : 04 الخميس , ذو الحجة, 1436 تاريخ الإصدار : 09 الإثنين , صفر, 1436

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

ملخص المقالة :

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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