A counterexample of compact operator between Banach lattices (Q1412298)
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: A counterexample of compact operator between Banach lattices |
scientific article; zbMATH DE number 2002011
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A counterexample of compact operator between Banach lattices |
scientific article; zbMATH DE number 2002011 |
Statements
A counterexample of compact operator between Banach lattices (English)
0 references
10 November 2003
0 references
A counterexample of a compact dominated compact operator \(T:X \to Y\) is given, such that \(| T'| \) is compact but \(| T| \) is not compact. Here, \(X,Y\) are Banach lattices.
0 references
Banach lattice
0 references
compact operator
0 references
modulus
0 references
conjugate
0 references
compact domination property
0 references
finite range operator
0 references
