Pseudo-inverses, holomorphic functions and Atkinson theory in Banach algebras.
نویسندگان
چکیده
منابع مشابه
Group Inverses and Drazin Inverses over Banach Algebras
For a matrix over a complex commutative unital Banach algebra, necessary and suucient conditions are given for the existence of its group inverse, and more generally, its Drazin inverses. The conditions are easy to check and explicit formulas for the inverses are provided. Some properties of the inverses and an application to operator theory are discussed. This note is a continuation of an earl...
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Let X be a Banach space and T be a bounded linear operator from X to itself (T ∈ B(X).) An operator S ∈ B(X) is a generalized inverse of T if TST = T . In this paper we look at several Banach algebras of operators and characterize when an operator in that algebra has a generalized inverse that is also in the algebra. Also, Drazin inverses will be related to generalized inverses and spectral pro...
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ژورنال
عنوان ژورنال: MATHEMATICA SCANDINAVICA
سال: 1993
ISSN: 1903-1807,0025-5521
DOI: 10.7146/math.scand.a-12450