Isometric imbeddings of Euclidean spaces into finite dimensional $l_p$-spaces

• Autorzy: Hermann König
• Języki publikacji: EN

Abstrakty

EN

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.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 1995
• Tom: 34
• Numer: 1
• Strony: 79-87

Daty

wydano

1995

Twórcy

autor

Hermann König

• Mathematisches Seminar, Universität Kiel, Ludewig-Meyn-Str. 4, 24098 KIEL, Germany

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