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On computing generalized inverses

✍ Scribed by Reginald P. Tewarson


Publisher
Springer Vienna
Year
1969
Tongue
English
Weight
644 KB
Volume
4
Category
Article
ISSN
0010-485X

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## 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

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