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RESEARCH PRODUCT
Examples of improjective operators
Manuel GonzálezPietro Aienasubject
AlgebraPure mathematicsApproximation propertyGeneral MathematicsBanach spaceCharacterization (mathematics)Space (mathematics)Indecomposable moduleMathematicsdescription
It has been an open question for some time whether improjective operators are always inessential. Here we give some examples that answer in the negative this question as well as some other related ones, posed in [2, 3, 11, 12]. The description of the examples uses a indecomposable space, constructed by Gowers and Maurey [5], and a characterization of the indecomposable Banach spaces in terms of improjective operators.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2000-03-01 | Mathematische Zeitschrift |