Khrabrov, A. I. 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. Cited in 3 ReviewsCited in 2 Documents MSC: 46B25 Classical Banach spaces in the general theory Keywords:Banach-Mazur distance; direct sum of finite-dimensional normed spaces PDF BibTeX XML Cite \textit{A. I. Khrabrov}, Vestn. St. Petersbg. Univ., Math. 33, No. 3, 45--50 (2000; Zbl 1043.46503); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 2000, Nr. 3, 57--63 (2000)