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<p>In this paper, we establish new necessary and sufficient conditions for the sum of two generalized core-EP invertible elements within a Banach *-algebra to possess a generalized core-EP inverse. Additionally, we extend various established results concerning core-EP inverses to a wider context.</p>

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Additive properties of the generalized Core-EP inverse in banach algebras

  • 期刊论文

  • 发表日期：

    2026年4月6日

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  • Huanyin Chen

摘要

In this paper, we establish new necessary and sufficient conditions for the sum of two generalized core-EP invertible elements within a Banach *-algebra to possess a generalized core-EP inverse. Additionally, we extend various established results concerning core-EP inverses to a wider context.