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Extremal definitions of generalized inverses

✍ Scribed by Michael P. Drazin

Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
673 KB
Volume
165
Category
Article
ISSN
0024-3795

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πŸ“œ SIMILAR VOLUMES

On the geometry of generalized inverses
On the geometry of generalized inverses
✍ E. Andruchow; G. Corach; M. Mbekhta πŸ“‚ Article πŸ“… 2005 πŸ› John Wiley and Sons 🌐 English βš– 219 KB

## Abstract We study the set __S__ = {(__a, b__) ∈ __A__ Γ— __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 Γ— A__. If __A__ is a C\*‐algebra, inside __S__ lies a