Random integrals and type and cotype of Banach space (Q1086902)
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: Random integrals and type and cotype of Banach space |
scientific article; zbMATH DE number 3986259
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Random integrals and type and cotype of Banach space |
scientific article; zbMATH DE number 3986259 |
Statements
Random integrals and type and cotype of Banach space (English)
0 references
1986
0 references
The paper is a small contribution to the theory of random integrals of Banach space valued integrands. The main results are contained in Theorem 1.4 which enables to renorm the space of integrable functions in a useful way, Theorem 2.3 which establishes the equivalence between the weak and strong integrability and Theorems 4.3 and 4.5 which tie the geometry (type or cotype) with characterizations of integrable functions in terms of certain Orlicz-type norms.
0 references
random integrals of Banach space valued integrands
0 references
equivalence between the weak and strong integrability
0 references
Orlicz-type norms
0 references
0.7944139242172241
0 references
0.776032567024231
0 references
0.7748897671699524
0 references
