Journal:
:bulletin of the iranian mathematical society
0
m. fakhar
department of mathematics, university of isfahan, isfahan 81745--163, iran, and, school of mathematics, institute for research in fundamental sciences (ipm), p.o. box: 19395--5746, tehran, iran. m. r. koushesh
department of mathematical sciences, isfahan university of technology, isfahan 84156--83111, iran, and, school of mathematics, institute for research in fundamental sciences (ipm), p.o. box: 19395--5746, tehran, iran. m. raoofi
department of mathematical sciences, isfahan university of technology, isfahan 84156--83111, iran.
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 ...
