On isometric embeddings of Hilbert's cube into $c$
Commentationes Mathematicae Universitatis Carolinae, Tome 35 (1994) no. 2, pp. 361-364
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In our note, we prove the result that the Hilbert's cube equipped with \newline $l_p-$metrics, $p\ge 1$, cannot be isometrically embedded into $c$.
In our note, we prove the result that the Hilbert's cube equipped with \newline $l_p-$metrics, $p\ge 1$, cannot be isometrically embedded into $c$.
@article{CMUC_1994_35_2_a16,
author = {Bobok, Jozef},
title = {On isometric embeddings of {Hilbert's} cube into $c$},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {361--364},
year = {1994},
volume = {35},
number = {2},
mrnumber = {1286583},
zbl = {0855.54040},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_1994_35_2_a16/}
}
Bobok, Jozef. On isometric embeddings of Hilbert's cube into $c$. Commentationes Mathematicae Universitatis Carolinae, Tome 35 (1994) no. 2, pp. 361-364. http://geodesic.mathdoc.fr/item/CMUC_1994_35_2_a16/