Add to ORKGDedicated to Professor Junzo Wada on his seventieth birthday Abstract. A topological condition is given for a locally connected compact Hausdor space on which every complex-valued continuous function is the square of another. The condition need not be necessary nor sucient unless the space is locally connected. 1
<P>Let C(X) be the ring of all continuous real valued functions defined on a completely regu...
Two new topologies are defined on C(X). These topologies make C(X) to be a zero-dimensional (comple...
Abstract i Chapter 1. On algebraic equations in algebras of continuous functions 1 1. On a character...
We consider the condition that every complex-valued continuous function on a compact Hausdor space ...
Abstract. Let X be a compact Hausdorff space and C(X) the Banach algebra of all complex-valued conti...
summary:Let $X$ be a completely regular Hausdorff space, $C_{b}(X)$ the space of all scalar-valued b...
summary:Let $C(X)$ be the ring of real continuous functions on a completely regular Hausdorff space....
Abstract. Let X be a locally compact Hausdorff space and C0(X) the Banach space of continuous functi...
Let C*(X, A) denote the ring of bounded continuous functions on a (Hausdorff) topological space X wi...
Recent work in the ideal theory of commutative rings and that of C*-algebra is unified and generaliz...
This paper introduces the notion of a commutative C*-algebra in a Grothendieck topos E and subsequen...
Recent work in the ideal theory of commutative rings and that of C*-algebra is unified and generaliz...
Abstract. It is known that C(X) is algebraically closed if X is a locally connected, hereditarily un...
AbstractLet X be a completely regular Hausdorff space, C(X) the ring of real-valued continuous funct...
It is shown, for a commutative C*-algebra in any Grothendieck topos E, that the locale MFnA of mu...
<P>Let C(X) be the ring of all continuous real valued functions defined on a completely regu...
Two new topologies are defined on C(X). These topologies make C(X) to be a zero-dimensional (comple...
Abstract i Chapter 1. On algebraic equations in algebras of continuous functions 1 1. On a character...
We consider the condition that every complex-valued continuous function on a compact Hausdor space ...
Abstract. Let X be a compact Hausdorff space and C(X) the Banach algebra of all complex-valued conti...
summary:Let $X$ be a completely regular Hausdorff space, $C_{b}(X)$ the space of all scalar-valued b...
summary:Let $C(X)$ be the ring of real continuous functions on a completely regular Hausdorff space....
Abstract. Let X be a locally compact Hausdorff space and C0(X) the Banach space of continuous functi...
Let C*(X, A) denote the ring of bounded continuous functions on a (Hausdorff) topological space X wi...
Recent work in the ideal theory of commutative rings and that of C*-algebra is unified and generaliz...
This paper introduces the notion of a commutative C*-algebra in a Grothendieck topos E and subsequen...
Recent work in the ideal theory of commutative rings and that of C*-algebra is unified and generaliz...
Abstract. It is known that C(X) is algebraically closed if X is a locally connected, hereditarily un...
AbstractLet X be a completely regular Hausdorff space, C(X) the ring of real-valued continuous funct...
It is shown, for a commutative C*-algebra in any Grothendieck topos E, that the locale MFnA of mu...
<P>Let C(X) be the ring of all continuous real valued functions defined on a completely regu...
Two new topologies are defined on C(X). These topologies make C(X) to be a zero-dimensional (comple...
Abstract i Chapter 1. On algebraic equations in algebras of continuous functions 1 1. On a character...