Rootless B-Fredholm Operators
Journal of Advances in Mathematics and Computer Science · pp. 1–6 · Published 24 Feb 2017
10.9734/BJMCS/2017/30520Abstract
Let T be a B-Fredholm operator on a Banach space X. We say that T is rootless if there is no bounded linear operator S and no positive integer n ≥ 2 such that T = Sn. In this note, some properties of the uniform topological descent are used to give some sucient conditions for B-Fredholm operators to be rootless.
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