Endomorphisms of Banach Algebras of Infinitely Differentiable Functions on Compact Plane Sets
نویسندگان
چکیده
منابع مشابه
Endomorphisms of Banach algebras of infinitely differentiable functions on compact plane sets
This note is a sequel to [7] where we investigated the endomorphisms of a certain class of Banach algebras of infinitely differentiable functions on the unit interval. Start with a perfect, compact plane setX. We say that a complex-valued function f defined on X is complex-differentiable at a point a ∈ X if the limit f (a) = lim z→a, z∈X f(z)− f(a) z − a exists. We call f ′(a) the complex deriv...
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15 صفحه اولCertain subalgebras of Lipschitz algebras of infinitely differentiable functions and their maximal ideal spaces
We study an interesting class of Banach function algebras of innitely dierentiable functions onperfect, compact plane sets. These algebras were introduced by Honary and Mahyar in 1999, calledLipschitz algebras of innitely dierentiable functions and denoted by Lip(X;M; ), where X is aperfect, compact plane set, M = fMng1n=0 is a sequence of positive numbers such that M0 = 1 and(m+n)!Mm+n ( m!Mm)...
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 2000
ISSN: 0022-1236
DOI: 10.1006/jfan.1999.3555