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On generalized inverses and Green’s relations

✍ Scribed by X. Mary


Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
207 KB
Volume
434
Category
Article
ISSN
0024-3795

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On the geometry of generalized inverses
✍ E. Andruchow; G. Corach; M. Mbekhta 📂 Article 📅 2005 🏛 John Wiley and Sons 🌐 English ⚖ 219 KB

## Abstract We study the set __S__ = {(__a, b__) ∈ __A__ × __A__ : __aba__ = __a, bab__ = __b__} which pairs the relatively regular elements of a Banach algebra __A__ with their pseudoinverses, and prove that it is an analytic submanifold of __A × A__. If __A__ is a C\*‐algebra, inside __S__ lies a