Journal of Advances in Mathematics and Computer Science

Rootless B-Fredholm Operators

Gabriel Kantun-Montiel *

Facultad de Ciencias Fisico-Matematicas, Benemerita Universidad Autonoma de Puebla, Av. Sn Claudio y 18 Sur Puebla 72570, Mexico.

*Author to whom correspondence should be addressed.

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Abstract

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.

Keywords: B-Fredholm operators, topological uniform descent, roots of operators

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