Geodesic
Comparison of Some Distances Between Sums of $\ell^{p}_n$ Spaces
Funkcionalʹnyj analiz i ego priloženiâ, Tome 38 (2004) no. 1, pp. 91-94.

Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper, we study the classical, modified, and weak Banach–Mazur distances between sums of $\ell^p_n$ spaces. We explicitly calculate the classical and weak Banach–Mazur distances between sums of $\ell^p_n$ spaces and establish bounds for the ratios of these distances.
Mots-clés : volume ratio, Banach–Mazur distance
Keywords: finite-dimensional normed space, ideal norm. 
@article{FAA_2004_38_1_a10,
     author = {A. I. Khrabrov},
     title = {Comparison of {Some} {Distances} {Between} {Sums} of $\ell^{p}_n$ {Spaces}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {91--94},
     publisher = {mathdoc},
     volume = {38},
     number = {1},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2004_38_1_a10/}
}
TY  - JOUR
AU  - A. I. Khrabrov
TI  - Comparison of Some Distances Between Sums of $\ell^{p}_n$ Spaces
JO  - Funkcionalʹnyj analiz i ego priloženiâ
PY  - 2004
SP  - 91
EP  - 94
VL  - 38
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FAA_2004_38_1_a10/
LA  - ru
ID  - FAA_2004_38_1_a10
ER  - 
%0 Journal Article
%A A. I. Khrabrov
%T Comparison of Some Distances Between Sums of $\ell^{p}_n$ Spaces
%J Funkcionalʹnyj analiz i ego priloženiâ
%D 2004
%P 91-94
%V 38
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FAA_2004_38_1_a10/
%G ru
%F FAA_2004_38_1_a10
A. I. Khrabrov. Comparison of Some Distances Between Sums of $\ell^{p}_n$ Spaces. Funkcionalʹnyj analiz i ego priloženiâ, Tome 38 (2004) no. 1, pp. 91-94. http://geodesic.mathdoc.fr/item/FAA_2004_38_1_a10/

[1] Gurarii V. I., Kadets M. I., Matsaev V. I., Matem. sb., 70(112):4 (1966), 481–489 | MR | Zbl

[2] Gluskin E. D., Funkts. analiz i ego pril., 15:1 (1981), 72–73 | MR | Zbl

[3] Pich A., Operatornye idealy, Mir, M., 1982 | MR

[4] Khrabrov A. I., Vestnik S.-Peterburg. un-ta, ser. 1, 2000, no. 3(17), 56–62 | MR

[5] Khrabrov A. I., Matem. zametki, 70:6 (2001), 918–926 | DOI | MR | Zbl

[6] Khrabrov A. I., Problemy matematicheskogo analiza, vyp. 21, Nauchnaya kniga, Novosibirsk, 2000, 264–275

[7] Khrabrov A. I., Problemy matematicheskogo analiza, vyp. 23, Tamara Rozhkovskaya, Novosibirsk, 2001, 206–220

[8] Tomczak-Jaegermann N., Math. Nachr., 119 (1984), 291–307 | DOI | MR | Zbl