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Weighted pre-orders in a Banach algebra

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Abstract Several new pre-orders are introduced and characterized on the set of all wg -Drazin invertible elements of a Banach algebra. We generalize recent results for rectangular matrices and bounded… Click to show full abstract

Abstract Several new pre-orders are introduced and characterized on the set of all wg -Drazin invertible elements of a Banach algebra. We generalize recent results for rectangular matrices and bounded linear operators between Banach spaces, omitting some assumptions and adding new characterizations.

Keywords: orders banach; pre orders; banach algebra; weighted pre

Journal Title: Linear Algebra and its Applications
Year Published: 2017

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