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arXiv · 2507.09939

Generalized weighted EP elements in Banach algebras

H. Chen·M. Sheibani
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Abstract

We propose a new class of generalized inverses with weights, which represent a natural extension of EP (Moore-Penrose) and *-DMP (Drazin-Moore-Penrose) elements in a Banach *-algebra. This paper presents various characteristics of weighted EP elements. Moreover, we characterize the weighted EP element through the core-EP decomposition and a polar-like property. Finally, we explore weighted *-DMP elements and uncover several new properties of *-DMP elements.

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H. Chen, M. Sheibani. 2025-07-14. Generalized weighted EP elements in Banach algebras. https://arxiv.org/abs/2507.09939

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