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Estimates of distances between the sums of spaces \(\ell^p_n\). (English. Russian original) Zbl 1043.46503
Vestn. St. Petersbg. Univ., Math. 33, No. 3, 45-50 (2000); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 2000, Nr. 3, 57-63 (2000).
Summary: The classical and modified Banach-Mazur distances between direct sums of finite-dimensional normed spaces are considered. The possible estimates of a distance via one another are stated. Estimates with an accuracy to order of magnitude for modified distances between the spaces \(\ell^p_n\oplus \ell^q_n\) are found.

MSC:
46B25 Classical Banach spaces in the general theory
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