Copies of lnp’S uniformly in the spaces 2(C[0,1],X) and 1(C[0,1],X)

Title:

Copies of lnp’S uniformly in the spaces 2(C[0,1],X) and 1(C[0,1],X)

Creator:

Popa, Dumitru

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:0e274ba3-43d1-4678-bac0-c9058dd840a9
uuid:0e274ba3-43d1-4678-bac0-c9058dd840a9
issn:0011-4642

Subject:

matematika, mathematics, average, multiplication operator, p-summing linear operators, copies of ln p’s uniformly, local structure of a Banach space, 13, and 51

Type:

model:article and TEXT

Format:

print, bez média, and svazek

Description:

We study the presence of copies of ln p ’s uniformly in the spaces 2(C[0, 1],X) and 1(C[0, 1],X). By using Dvoretzky’s theorem we deduce that if X is an infinite- dimensional Banach space, then 2(C[0, 1],X) contains p2-uniformly copies of ln∞’s and 1(C[0, 1],X) contains -uniformly copies of ln 2 ’s for all > 1. As an application, we show that if X is an infinite-dimensional Banach space then the spaces 2(C[0, 1],X) and 1(C[0, 1],X) are distinct, extending the well-known result that the spaces 2(C[0, 1],X) and N(C[0, 1],X) are distinct., Dumitru Popa., and Seznam literatury

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

457-467

Source:

Czechoslovak Mathematical Journal | 2017 Volume:67 | Number:2

Harvested from:

CDK

Metadata only:

false