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Home  >  Volume 45

3. SOME COMPACT OPERATORS ON HILBERT C*-MODULES by A. I. Garba and J. Abubakar Volume. 45 (March, 2018), pp 9 – 12
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Abstract

In this paper, a sequential definition of compact operators is given and used to extend some inheritable properties of compact operators on Hilbert space to Hilbert C* - modules. Furthermore, some properties of compact operators on Hilbert space are extended and characterized based on the dimension of the Hilbert Space to Hilbert C* - Module. It is observed that the inheritable properties of compact operators on Hilbert space are invariant on Hilbert C*- Modules.
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