Closed ideals in topological algebras: A characterization of the topological Φ-algebra C k (x)

Author： Montalvo F.   Pulgarín A.   Requejo B.  

Publisher： Springer Publishing Company

ISSN： 0011-4642

Source： Czechoslovak Mathematical Journal, Vol.56, Iss.3, 2006-09, pp. : 903-918

Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.

Previous Menu Next

Abstract

Let A be a uniformly closed and locally m-convex Φ-algebra. We obtain internal conditions on A stated in terms of its closed ideals for A to be isomorphic and homeomorphic to C k (x), the Φ-algebra of all the real continuous functions on a normal topological space x endowed with the compact convergence topology.

Related content

K(1)-local topological modular forms

By Laures Gerd  

Inventiones mathematicae, Vol. 157, Iss. 2, 2004-08 ,pp. : 371-403 (33)

Springer Publishing Company

Access to resources Recommend Favorite

On the commutativity of C * -algebras

By Jeang Jyh-Shyang  

manuscripta mathematica, Vol. 115, Iss. 2, 2004-10 ,pp. : 195-198 (4)

Springer Publishing Company

Access to resources Recommend Favorite

K 0 of hypersurfaces defined by x 1 2 + ... + x n 2 = ±1

By Keshari Manoj  

Indian Journal of Pure and Applied Mathematics, Vol. 44, Iss. 2, 2013-04 ,pp. : 119-129 (11)

Springer Publishing Company

Access to resources Recommend Favorite

On the law of the iterated logarithm for the discrepancy of 〈 n k x 〉

By Aistleitner Christoph  

Monatshefte für Mathematik, Vol. 156, Iss. 2, 2009-02 ,pp. : 103-121 (19)

Springer Publishing Company

Access to resources Recommend Favorite

The law of the iterated logarithm for the discrepancies of a permutation of {n k x}

By Fukuyama K.  

Acta Mathematica Hungarica, Vol. 123, Iss. 1-2, 2009-04 ,pp. : 121-125 (5)

Springer Publishing Company

Access to resources Recommend Favorite