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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I hereby declare that I am the sole author of this thesis. I authorize the University of Waterloo to lend this thesis to other institutions or individuals for the purpose of scholarly research. I further authorize the University of Waterloo to reproduce this thesis by photocopying or by other means, in total or in part, at the request of other institutions or individuals for the purpose of scho...
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Let (K, 3) be a (commutative) topological field. (We do not require that multiplicative inversion be continuous, i.e. 3 is a ring topology. See [l, p. 274] for the definition of the latter.) Throughout this paper, 11 will denote a basic system of neighborhoods of zero for 3. Let P(X) be a polynomial in K[X] of degree »sS2, and let S= {P(a)\a£EK}. We will be concerned with suitably defining a mu...
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ژورنال
عنوان ژورنال: Advances in Pure Mathematics
سال: 2014
ISSN: 2160-0368,2160-0384
DOI: 10.4236/apm.2014.47040