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On the use of generalized inverses in function minimization

✍ Scribed by R. P. Tewarson

Book ID
105507835
Publisher
Springer Vienna
Year
1970
Tongue
English
Weight
380 KB
Volume
6
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