I just read from here that if an operator $T$ from and to a Banach space can be written as a sum of a compact operator and an invertible operator then it is Fredholm.
I would like to prove this but I don't get it. Can someone help me?
I just read from here that if an operator $T$ from and to a Banach space can be written as a sum of a compact operator and an invertible operator then it is Fredholm.
I would like to prove this but I don't get it. Can someone help me?
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