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On Compact and Fredholm Operators over C*-algebras and a New Topology in the Space of Compact Operators

On Compact and Fredholm Operators over C*-algebras and a New Topology in the Space of Compact Operators

Abstract It is well-known that bounded operators in Hilbert C *-modules over C *-algebras may not be adjointable and the same is true for compact operators. So, there are two analogs for classical compact operators in Hilbert C *-modules: adjointable compact operators and all compact operators, i.e. those not necessarily …