On uniform Kadec--Klee properties and rotundity in generalized Cesàro sequence spaces (Q1774644)
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 uniform Kadec--Klee properties and rotundity in generalized Cesàro sequence spaces |
scientific article; zbMATH DE number 2168601
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On uniform Kadec--Klee properties and rotundity in generalized Cesàro sequence spaces |
scientific article; zbMATH DE number 2168601 |
Statements
On uniform Kadec--Klee properties and rotundity in generalized Cesàro sequence spaces (English)
0 references
18 May 2005
0 references
Summary: We consider the generalized Cesàro sequence spaces defined by \textit{S. Suantai} [Georgian Math. J. 10, No. 1, 193--200 (2003; Zbl 1051.46011)] and consider it equipped with the Amemiya norm. The main purpose of this paper is to show that \(\text{ces}_{(p)}\) equipped with the Amemiya norm is rotund and has the uniform Kadec--Klee property.
0 references
generalized Cesàro sequence spaces
0 references
uniform Kadec-Klee property
0 references
