This is an announcement for the paper "On embeddings of $C_0(K)$ spaces into $C_0(J,X)$ spaces" by Leandro Candido.

Abstract: Let $C_0(K, X)$ denote the space of all continuous $X$-valued functions defined on the locally compact Hausdorff space $K$ which vanish at infinity, provided with the supremum norm. If $X$ is the scalar field, we denote $C_0(K, X)$ by simply $C_0(K)$. If $K$ is compact these spaces will be denoted by $C(K,X)$ and $C(K)$ respectively. In this paper we study whether some aspects of the space $K$ are determined by $J$ and the geometry of the Banach space $X$, if there is a linear embeddind of $C_0(K)$ into $C_0(J,X)$.

Archive classification: math.FA

Mathematics Subject Classification: Primary 46E40, Secondary 46B25

Submitted from: lc@ime.usp.br

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1308.6555

or

http://arXiv.org/abs/1308.6555