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Sibirskii Matematicheskii Zhurnal, 2001, Volume 42, Number 3, Pages 538–549
(Mi smj1442)
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This article is cited in 3 scientific papers (total in 3 papers)
Finite families of $l_p$-spaces and multirectangular characteristics
V. P. Zaharyuta, P. A. Chalov Rostov State University
Abstract:
Under consideration are finite families of Banach spaces with unconditional basis. The problem of isomorphic classification of families is studied together with the related problem of uniqueness of an unconditional basis for a family. Complete solution of both problems for $l_1$- and $c_0$-families is given by using some geometric invariants combined with the corresponding results for $l_1$ and $c_0$.
Received: 05.05.1999 Revised: 25.10.1999
Citation:
V. P. Zaharyuta, P. A. Chalov, “Finite families of $l_p$-spaces and multirectangular characteristics”, Sibirsk. Mat. Zh., 42:3 (2001), 538–549; Siberian Math. J., 42:3 (2001), 455–464
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https://www.mathnet.ru/eng/smj1442 https://www.mathnet.ru/eng/smj/v42/i3/p538
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Abstract page: | 190 | Full-text PDF : | 77 |
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