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

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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. 
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     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/}
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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/