Abstract of a paper by Leandro Candido
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
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alspach@math.okstate.edu