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On Iterative Computation of Generalized Inverses and Associated Projections

✍ Scribed by Ben-Israel, Adi; Cohen, Dan


Book ID
118181675
Publisher
Society for Industrial and Applied Mathematics
Year
1966
Tongue
English
Weight
627 KB
Volume
3
Category
Article
ISSN
0036-1429

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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