منابع مشابه
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).
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We characterize the class of uniform domains in terms of capacity. As a byproduct of this investigation we provide results describing when a Loewner domain will be QED.
متن کاملUniform 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...
متن کاملHankel-Type Operators, Bourgain Algebras, and Uniform Algebras
Let H∞(D) denote the algebra of bounded analytic functions on the open unit disc in the complex plane. For a function g ∈ L∞(D), the Hankel-type operator Sg is defined by Sg(f) = gf +H∞(D). We give here an overview of the study of the symbol of the Hankel-type operator, with emphasis on those symbols for which the operator is compact, weakly compact, or completely continuous. We conclude with a...
متن کاملPolynomial Identification in Uniform and Operator Algebras
Let A be a unital Banach algebra, and denote the spectral radius of f ∈ A by ρ(f). If A is a uniform algebra and ρ(fh + 1) = ρ(gh + 1) for all h ∈ A, then it can be shown that f = g, a result that also carries in algebras of bounded linear operators on Banach spaces. On the other hand ρ(fh) = ρ(gh) does not imply f = g in any unital algebra, marking a distinction between the polynomials p(z, w)...
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 1978
ISSN: 0022-1236
DOI: 10.1016/0022-1236(78)90095-2