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The σg-Drazin Inverse and the Generalized Mbekhta Decomposition

✍ Scribed by A. Dajić; J. J. Koliha

Book ID: 105760355
Publisher: SP Birkhäuser Verlag Basel
Year: 2006
Tongue: English
Weight: 238 KB
Volume: 57
Category: Article
ISSN: 0378-620X
DOI: 10.1007/s00020-006-1454-0

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## 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