On \(r\)-convex sequence spaces defined by modulus functions (Q2711468)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: On \(r\)-convex sequence spaces defined by modulus functions |
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On \(r\)-convex sequence spaces defined by modulus functions |
scientific article |
Statements
4 March 2002
0 references
sequence spaces
0 references
modulus function
0 references
\(r\)-convexity
0 references
On \(r\)-convex sequence spaces defined by modulus functions (English)
0 references
Given a sequence space \(E\) and a sequence \(F= (f_k)\) of \(r\)-convex modulus functions, the author defines the space \(E(F):= \{x= (x_k)\mid (f_k(|x_k|))_k\in E\}\), and he investigates the \(r\)-convexity of \(E(F)\) and related properties.
0 references
0.8128431439399719
0 references
