Gonzalo, R. and Jaramillo Aguado, Jesús Ángel (1995) Smoothness and Estimates of Sequences in Banach-Spaces. Israel Journal of Mathematics, 89 (1). pp. 321-341. ISSN 0021-2172
Official URL: http://www.springerlink.com/content/758232444g025273/
An upper bound for the order of smoothness of bump functions in Banach spaces without copy of c(0) is found in terms of lower and upper estimates of their sequences. It is also shown that every C-infinity-smooth Banach space with symmetric basis either contains c(0) or is isomorphic to l(2n) for some integer n.
|Uncontrolled Keywords:||Upper bound for the order of smoothness of bump functions in Banach spaces without copy of c0; lower and upper estimates; C1-smooth Banach space with symmetric basis|
|Subjects:||Sciences > Mathematics > Functional analysis and Operator theory|
|Deposited On:||19 Oct 2012 10:27|
|Last Modified:||19 Oct 2012 10:27|
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