Strongly alternative Dunford - Pettis subspaces of operator ideals

• Datum: 2013
• Hauptverfasser: Moshtaghioun, S. M., Моштагіоун, С. М.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2013
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/2442
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

Introducing the concept of strong alternative Dunford – Pettis property (strong DP1) for the subspace M of operator ideals $\mathcal{U}(X, Y )$ between Banach spaces $X$ and $Y$, we show that M is a strong DP1 subspace if and only if all evaluation operators $\phi_x : \mathcal{M} → Y$ та $ψy∗ : \ma...