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ON A CLASS OF GENERALIZED FREDHOLM OPERATORS, I

1997
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Demonstratio Mathematica
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Let X be an infinite-dimensional complex Banach space and let C(X) denote the Banach algebra of all bounded linear operators on X. We write $ g (X) for the following class of operators: TST = T and I -ST -TS is Fredholm}. Each Fredholm operator belongs to <$g(X). Operators in d> g (X) we call generalized Fredholm operators. In this paper we investigate the class <P g (X). Terminology and introduction Throughout this paper X denotes an infinite-dimensional complex Banach space and A denotes a

doi:10.1515/dema-1997-0413
fatcat:rf4oqnphnrgkdioxoxcmoavs2a