Finite families of \(\ell_p\)-spaces and multirectangular characteristics (Q2773629)
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: Finite families of \(\ell_p\)-spaces and multirectangular characteristics |
scientific article; zbMATH DE number 1710257
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Finite families of \(\ell_p\)-spaces and multirectangular characteristics |
scientific article; zbMATH DE number 1710257 |
Statements
24 February 2002
0 references
linear topological invariant
0 references
compound invariant
0 references
isomorphic classification
0 references
Banach spaces with unconditional basis
0 references
Finite families of \(\ell_p\)-spaces and multirectangular characteristics (English)
0 references
Under consideration are finite families of Banach spaces with unconditional basis. The problem of isomorphic classification of families is studied together with the related problem of uniqueness of an unconditional basis for a family. Complete solution of both problems for \(\ell_1\)- and \(c_0\)-families is given by using some geometric invariants combined with the corresponding results for \(\ell_1\) and \(c_0\).
0 references
