Let \((C_b (X) , \Beta)\) be the algebra of all continuous bounded real or complex valued functions defined on a completely regular Hausdorff space \(X\) with the usual algebraic operations and with the strict topology \(\Beta\). It is proved that \((C_b (X) , \Beta)\) has a spectral synthesis, i.e. every of its closed ideals is an intersection of closed maximal ideals of codimension 1. We give one necessary and two sufficient conditions over \(X\) in order that \((C_b (X) , \Beta)\) has no proper non-zero closed principal ideals. Moreover if \(X\) satisfy any of these two conditions and is also a k-space, then any non zero element of \(C_b(X)\) is invertible or a topological divisor of zero
Let $X$ be a compact Hausdorff space, $\tau$:$X\to X$ a homeomorphic involution on $X$. Denote by C(...
Let G be a compact group and C(G) be the C*-algebra of continuous complex-valued functions on G. We ...
AbstractLet X be a completely regular Hausdorff space, C(X) the ring of real-valued continuous funct...
Using results from theory of bundles of topological vector spaces, we prove some spectral synthesis ...
Two new topologies are defined on C(X). These topologies make C(X) to be a zero-dimensional (comple...
AbstractLet F1(Rn) denote the Fourier algebra on Rn, and D(Rn) the space of test functions on Rn. A ...
Let X be a completely regular Hausdorff space. Then the space Cb(X) of all bounded continuous comple...
summary:Let $X$ be a completely regular Hausdorff space and, as usual, let $C(X)$ denote the ring of...
summary:Let $X$ be a completely regular Hausdorff space and, as usual, let $C(X)$ denote the ring of...
summary:Let $X$ be a completely regular Hausdorff space and, as usual, let $C(X)$ denote the ring of...
This paper continues the study of spectral synthesis and the topologies τ∞ and τr on the ideal space...
AbstractThis paper continues the study of spectral synthesis and the topologies τ∞ and τr on the ide...
Let $X$ be a compact Hausdorff space, $\tau$:$X\to X$ a homeomorphic involution on $X$. Denote by C(...
Let $X$ be a compact Hausdorff space, $\tau$:$X\to X$ a homeomorphic involution on $X$. Denote by C(...
AbstractLet U be a function algebra on a compact Hausdorff space X which is also the spectrum of U. ...
Let $X$ be a compact Hausdorff space, $\tau$:$X\to X$ a homeomorphic involution on $X$. Denote by C(...
Let G be a compact group and C(G) be the C*-algebra of continuous complex-valued functions on G. We ...
AbstractLet X be a completely regular Hausdorff space, C(X) the ring of real-valued continuous funct...
Using results from theory of bundles of topological vector spaces, we prove some spectral synthesis ...
Two new topologies are defined on C(X). These topologies make C(X) to be a zero-dimensional (comple...
AbstractLet F1(Rn) denote the Fourier algebra on Rn, and D(Rn) the space of test functions on Rn. A ...
Let X be a completely regular Hausdorff space. Then the space Cb(X) of all bounded continuous comple...
summary:Let $X$ be a completely regular Hausdorff space and, as usual, let $C(X)$ denote the ring of...
summary:Let $X$ be a completely regular Hausdorff space and, as usual, let $C(X)$ denote the ring of...
summary:Let $X$ be a completely regular Hausdorff space and, as usual, let $C(X)$ denote the ring of...
This paper continues the study of spectral synthesis and the topologies τ∞ and τr on the ideal space...
AbstractThis paper continues the study of spectral synthesis and the topologies τ∞ and τr on the ide...
Let $X$ be a compact Hausdorff space, $\tau$:$X\to X$ a homeomorphic involution on $X$. Denote by C(...
Let $X$ be a compact Hausdorff space, $\tau$:$X\to X$ a homeomorphic involution on $X$. Denote by C(...
AbstractLet U be a function algebra on a compact Hausdorff space X which is also the spectrum of U. ...
Let $X$ be a compact Hausdorff space, $\tau$:$X\to X$ a homeomorphic involution on $X$. Denote by C(...
Let G be a compact group and C(G) be the C*-algebra of continuous complex-valued functions on G. We ...
AbstractLet X be a completely regular Hausdorff space, C(X) the ring of real-valued continuous funct...