@article {
author = {Fakhar, M. and Koushesh, M. R. and Raoofi, M.},
title = {Embedding normed linear spaces into $C(X)$},
journal = {Bulletin of the Iranian Mathematical Society},
volume = {43},
number = {1},
pages = {131-135},
year = {2017},
publisher = {Iranian Mathematical Society (IMS)},
issn = {1017-060X},
eissn = {1735-8515},
doi = {},
abstract = {It is well known that every (real or complex) normed linear space $L$ is isometrically embeddable into $C(X)$ for some compact Hausdorff space $X$. Here $X$ is the closed unit ball of $L^*$ (the set of all continuous scalar-valued linear mappings on $L$) endowed with the weak$^*$ topology, which is compact by the Banach--Alaoglu theorem. We prove that the compact Hausdorff space $X$ can indeed be chosen to be the Stone--Cech compactification of $L^*\setminus\{0\}$, where $L^*\setminus\{0\}$ is endowed with the supremum norm topology.},
keywords = {Stone-Cech compactification,Banach-Alaoglu theorem,embedding theorem},
url = {http://bims.iranjournals.ir/article_1000.html},
eprint = {http://bims.iranjournals.ir/article_1000_77895c4a78751ae5a2b08a3a3f7d20d2.pdf}
}