Finite‐dimensional approximation properties for uniform Roe algebras

M-IDEAL STRUCTURE IN UNIFORM ALGEBRAS

It is proved that if A is aregular uniform algebra on a compact Hausdorff space X in which every closed ideal is an M-ideal, then A = C(X).

Uniform Algebras on Curves

The proofs use the notion of analytic structure in a maximal ideal space. J. Wermer first obtained results along these lines and further contributions were made by E. Bishop and H. Royden and then by G. Stolzenberg [5] who proved STOLZENBERG'S THEOREM. Let XQC be a polynomially convex set. Let KQC be a finite union of Q-curves. Then (XKJK)*—X\JK is a {possibly empty) pure 1-dimensional analytic...

On the Invariant Uniform Roe Algebra as Crossed Product

The uniform Roe C U G . The reduced C algebra C G is naturally contained in CU G . We show that the elements of l∞ which are invariant under are of the form l∞ . Finally we show that if and are bounded geometry discrete metric spaces, then

On Constrained Uniform Approximation

A method to obtain the best uniform polynomial approximation for the family of rational function

In this article, by using Chebyshev’s polynomials and Chebyshev’s expansion, we obtain the best uniform polynomial approximation out of P2n to a class of rational functions of the form (ax2+c)-1 on any non symmetric interval [d,e]. Using the obtained approximation, we provide the best uniform polynomial approximation to a class of rational functions of the form (ax2+bx+c)-1 for both cases b2-4a...