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Finite Families of lp-Spaces and Multirectangular Characteristics

✍ Scribed by V. P. Zakharyuta; P. A. Chalov


Book ID
110291210
Publisher
SP MAIK Nauka/Interperiodica
Year
2001
Tongue
English
Weight
222 KB
Volume
42
Category
Article
ISSN
0037-4466

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Families of Finite Subsets of β„• of Low C
✍ Julio BernuΓ©s; Irene Deliyanni πŸ“‚ Article πŸ“… 2001 πŸ› John Wiley and Sons 🌐 English βš– 229 KB

We study Tsirelson type spaces of the form T (M k , ΞΈ k ) k=1 defined by a finite sequence (M k ) k=1 of compact families of finite subsets of IN. Using an appropriate index, denoted by i(M), to measure the complexity of a family M, we prove the following: If i(M k ) < Ο‰ for all k = 1, . . . , , the