Domination by Positive Narrow Operators
Abstract We prove that each positive operator from a Köthe function-space E(μ) to a Banach lattice F with a narrow majorant is itself narrow provided the norm on F is order continuous. We also prove that every l2-strictly singular regular operator from Lp[0,1], 1≤p < ∞, to a Banach lattice F is n...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Flores, Julio [verfasserIn] |
|---|
| Format: |
Artikel |
|---|---|
| Sprache: |
Englisch |
| Erschienen: |
2003 |
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| Schlagwörter: |
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| Anmerkung: |
© Kluwer Academic Publishers 2003 |
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| Übergeordnetes Werk: |
Enthalten in: Positivity - Kluwer Academic Publishers, 1997, 7(2003), 4 vom: Dez., Seite 303-321 |
|---|---|
| Übergeordnetes Werk: |
volume:7 ; year:2003 ; number:4 ; month:12 ; pages:303-321 |
| Links: |
|---|
| DOI / URN: |
10.1023/A:1026211909760 |
|---|
| Katalog-ID: |
OLC2026537585 |
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| 520 | |a Abstract We prove that each positive operator from a Köthe function-space E(μ) to a Banach lattice F with a narrow majorant is itself narrow provided the norm on F is order continuous. We also prove that every l2-strictly singular regular operator from Lp[0,1], 1≤p < ∞, to a Banach lattice F is narrow, provided F has an order continuous norm. | ||
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