EuDML | Browse

Page 1

Displaying 1 – 11 of 11

$C (X)$ can sometimes determine $X$ without $X$ being realcompact

Melvin Henriksen, Biswajit Mitra (2005)

Commentationes Mathematicae Universitatis Carolinae

As usual $C (X)$ will denote the ring of real-valued continuous functions on a Tychonoff space $X$ . It is well-known that if $X$ and $Y$ are realcompact spaces such that $C (X)$ and $C (Y)$ are isomorphic, then $X$ and $Y$ are homeomorphic; that is $C (X)$ determines $X$ . The restriction to realcompact spaces stems from the fact that $C (X)$ and $C (υ X)$ are isomorphic, where $υ X$ is the (Hewitt) realcompactification of $X$ . In this note, a class of locally compact spaces $X$ that includes properly the class of locally compact realcompact spaces is exhibited...

Caracterización del anillo de funciones diferenciables de una variedad.

Jaime Muñoz Masque (1980)

Revista Matemática Hispanoamericana

En el presente artículo se expone de modo resumido una caracterización de los anillos de funciones diferenciables de una variedad.

C...-Bounding Sets and Compactness.

P. Biström, Jesus A. Jaramillo (1994)

Mathematica Scandinavica

C(K) norming subsets of C[0,1]

Dale Alspach (1981)

Studia Mathematica

Closed ideals in locally convex algebras of analytic functions.

B.A. Taylor, James J. Kelleher (1972)

Journal für die reine und angewandte Mathematik

Cohomologie différentiable des algèbres de polynômes de leurs localisées ou de leurs complétées, et des variétés

Roland Berger (1982)

Publications du Département de mathématiques (Lyon)

Compact and weakly compact homomorphisms between algebras of differentiable functions.

Manuel González, Joaquín M. Gutiérrez (1990)

Extracta Mathematicae

Many authors have recently studied compact and weakly compact homomorphisms between function algebras. Among them, Lindström and Llavona [2] treat weakly compact continuous homomorphisms between algebras of type C(T) when T is a completely regular Hausdorff space.Llavona asked wether the results in [2] are valid in the case of algebras of differentiable functions on Banach spaces. The purpose of this note is to give an affirmative answer to this question, by proving that weakly compact homomorphisms...

Complemented copies of c0 in C0(Ω).

Juan Carlos Ferrando, Manuel López Pellicer (2001)

RACSAM

En esta nota consideramos una clase de espacios topológicos de Hausdorff localmente compactos (Ω) con la propiedad de que el espacio de Banach C0(Ω) de todas las funciones continuas con valores escalares definidas en Ω que se anulan en el infinito, equipado con la norma supremo, contiene una copia de C0 norma-uno complementada, mientras que C (βΩ) contiene una copia de l∞ linealmente isométrica.

Constantes de Grothendieck et fonctions de type positif sur les sphères

J. L. Krivine (1977/1978)

Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")

Continuous linear right inverses for convolution operators in spaces of real analytic functions

Michael Langenbruch (1994)

Studia Mathematica

We determine the convolution operators $T_{μ} : = μ *$ on the real analytic functions in one variable which admit a continuous linear right inverse. The characterization is given by means of a slowly decreasing condition of Ehrenpreis type and a restriction of hyperbolic type on the location of zeros of the Fourier transform μ̂(z).

Countably evaluating homomorphisms on real function algebras

Eva Adam, Peter Biström, Andreas Kriegl (1999)

Archivum Mathematicum

By studying algebra homomorphisms, which act as point evaluations on each countable subset, we obtain improved results on the question when all algebra homomorphisms are point evaluations.

Displaying 1 – 11 of 11

Currently displaying 1 – 11 of 11