Add to ORKGAbstract. Let X be a compact Hausdorff space and C(X) the Banach algebra of all complex-valued continuous functions on X. We consider the following property of C(X): for each f ∈ C(X) there exist a g ∈ C(X) and positive integers p and q such that p does not divide q and fq = gp. When X is locally connected, we give a necessary and sufficient condition for C(X) to have this property. We also give a characterization of a first-countable com-pact Hausdorff space X for which C(X) has the property above. As a corollary, we prove that if X is locally connected, or first-countable, then C(X) has the property above if and only if C(X) is algebraically closed
Let K be a Hausdorff space and C-b(K) be the Banach algebra of all complex bounded continuous functi...
summary:We prove that a Hausdorff space $X$ is locally compact if and only if its topology coincides...
PhDMathematicsUniversity of Michigan, Horace H. Rackham School of Graduate Studieshttp://deepblue.li...
Abstract i Chapter 1. On algebraic equations in algebras of continuous functions 1 1. On a character...
AbstractThe present paper considers the existence of continuous roots of algebraic equations with co...
Abstract. The present paper considers the existence of continu-ous roots of algebraic equations with...
AbstractFor a compact Hausdorff space X, C(X) denotes the algebra of all complex-valued continuous f...
Abstract. It is known that C(X) is algebraically closed if X is a locally connected, hereditarily un...
AbstractFor a compact Hausdorff space X, C(X) denotes the algebra of all complex-valued continuous f...
AbstractLet CR(X) denote, as usual, the Banach algebra of all real valued continuous functions on a ...
Let X be a compact Hausdorff topological space and C(X, C) (respectively, C(X, R)) the Banach algebr...
Let X be a compact Hausdorff topological space and C(X, C) (respectively, C(X, R)) the Banach algebr...
Let X be a compact Hausdorff topological space and C(X, C) (respectively, C(X, R)) the Banach algebr...
We consider the condition that every complex-valued continuous function on a compact Hausdor space ...
Dedicated to Professor Junzo Wada on his seventieth birthday Abstract. A topological condition is gi...
Let K be a Hausdorff space and C-b(K) be the Banach algebra of all complex bounded continuous functi...
summary:We prove that a Hausdorff space $X$ is locally compact if and only if its topology coincides...
PhDMathematicsUniversity of Michigan, Horace H. Rackham School of Graduate Studieshttp://deepblue.li...
Abstract i Chapter 1. On algebraic equations in algebras of continuous functions 1 1. On a character...
AbstractThe present paper considers the existence of continuous roots of algebraic equations with co...
Abstract. The present paper considers the existence of continu-ous roots of algebraic equations with...
AbstractFor a compact Hausdorff space X, C(X) denotes the algebra of all complex-valued continuous f...
Abstract. It is known that C(X) is algebraically closed if X is a locally connected, hereditarily un...
AbstractFor a compact Hausdorff space X, C(X) denotes the algebra of all complex-valued continuous f...
AbstractLet CR(X) denote, as usual, the Banach algebra of all real valued continuous functions on a ...
Let X be a compact Hausdorff topological space and C(X, C) (respectively, C(X, R)) the Banach algebr...
Let X be a compact Hausdorff topological space and C(X, C) (respectively, C(X, R)) the Banach algebr...
Let X be a compact Hausdorff topological space and C(X, C) (respectively, C(X, R)) the Banach algebr...
We consider the condition that every complex-valued continuous function on a compact Hausdor space ...
Dedicated to Professor Junzo Wada on his seventieth birthday Abstract. A topological condition is gi...
Let K be a Hausdorff space and C-b(K) be the Banach algebra of all complex bounded continuous functi...
summary:We prove that a Hausdorff space $X$ is locally compact if and only if its topology coincides...
PhDMathematicsUniversity of Michigan, Horace H. Rackham School of Graduate Studieshttp://deepblue.li...