Functional Analysis: Quasinilpotent Equivalence in Banach Algebras
Автор:Namadzavho Bernard Kone Год: 2010 Издание:LAP Lambert Academic Publishing Страниц: 60 ISBN: 9783838357072 In preliminaries, Chapter 2, we define a Banach Algebra, Spectrum, Resolvent Set, Spectral Radius, Homomorphism, Antihormomophism, Nilpotent and Quasinilpotent. Propositions with proofs are used to explain the concept of Quasinilpotent Equivalence and the book culminates in showing when Quasinilpotent implies equality by proving the theorem: Suppose that a and b in a Banach Algebra A are quasinilpotent equivalent and suppose that there is an entire function f which has simple zeros. If f(a) = f(b) = 0, then a = b.
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