Type and infratype in symmetric sequence spaces (Q1766469)
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: Type and infratype in symmetric sequence spaces |
scientific article; zbMATH DE number 2141372
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Type and infratype in symmetric sequence spaces |
scientific article; zbMATH DE number 2141372 |
Statements
Type and infratype in symmetric sequence spaces (English)
0 references
7 March 2005
0 references
A Banach space of type \(p\) is also of infratype \(p\). The author proved in [Invent. Math. 107, No. 1, 41--59 (1992; Zbl 0788.46022)] that the converse is true for all \(p< 2\). In the present paper, he proves that the converse does not hold for \(p= 2\). He constructs a symmetric sequence space that is of infratype 2 but not of type 2.
0 references
Banach sequence spaces
0 references
type
0 references
cotype
0 references
infratype
0 references
sup-cotype
0 references
symmetric sequence spaces
0 references
