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Showing 1 to 6 of 6 for “"uniform algebras"”.
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Uniform algebras and measures.
… vital role played by measures in the study of Uniform Algebras. Most authors in the subject of Uniform Algebras are, essentially, Functional Analysts and this emphasis is apparent in their treatment of the subject. Usually the basic Measure Theoretic assumptions are mentioned at the outset and …
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Spectral Preserver Problems in Uniform Algebras
… interest in characterizing maps between Banach algebras that preserve a certain equation or family of elements. There is a rich history in such problems that assume the map to be linear, so called linear preserver problems. More recently, there has been an interest in not assuming the map is …
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Spectral Preserver Problems in Uniform Algebras
… interest in characterizing maps between Banach algebras that preserve a certain equation or family of elements. There is a rich history in such problems that assume the map to be linear, so called linear preserver problems. More recently, there has been an interest in not assuming the map is …
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Isomorphism of uniform algebras on the 2-torus
… \alpha a positive irrational, we consider the uniform subalgebra A_\alpha of C(T^2) consisting of those functions f satisfying \hat{f}(m,n)=0 whenever m+n\alpha<0. For positive irrationals \alpha, \beta, we determine when A_\alpha and A_\beta are isometrically isomorphic. Furthermore, we …
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Peripherally-Multiplicative Spectral Preservers Between Function Algebras
… are established for maps between function algebras to be composition or weighted composition operators, which extend previous results regarding spectral conditions for maps between uniform algebras. Let X and Y be a locally compact Hausdorff spaces, where A \subset C(X) and B \subset C(Y) …
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Peripherally-Multiplicative Spectral Preservers Between Function Algebras
… are established for maps between function algebras to be composition or weighted composition operators, which extend previous results regarding spectral conditions for maps between uniform algebras. Let X and Y be a locally compact Hausdorff spaces, where A \subset C(X) and B \subset C(Y) …