Isometric imbeddings of Euclidean spaces into finite dimensional $l_p$-spaces
Volume 34 / 1995
Banach Center Publications 34 (1995), 79-87
DOI: 10.4064/-34-1-79-87
Abstract
It is shown that $l^n_2$ imbeds isometrically into $l^{n^2+1}_4$ provided that n is a prime power plus one, in the complex case. This and similar imbeddings are constructed using elementary techniques from number theory, combinatorics and coding theory. The imbeddings are related to existence of certain cubature formulas in numerical analysis.
