Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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APPROXIMATION IN LIPSCHITZ ALGEBRAS OF INFINITELY DIFFERENTIABLE FUNCTIONS

  • Honary, T.G. (Institute of Mathematics University for Teacher Education) ;
  • Mahyar, H. (Institute of Mathematics University for Teacher Educations)
  • Published : 1999.11.01
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Abstract

We introduce Lipschitz algebras of differentiable functions of a perfect compact plane set X and extend the definition to Lipschitz algebras of infinitely differentiable functions of X. Then we define the subalgebras generated by polynomials, rational functions, and analytic functions in some neighbourhood of X, and determine the maximal ideal spaces of some of these algebras. We investigate the polynomial and rational approximation problems on certain compact sets X.

Keywords

References

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  6. Trans. Amer. Math. Soc. v.111 The Structure of ideal and point derivations in Banach algebras of Lipschitz functions D. R. Sherbert