✨
Yapay Zeka Hızlı Bakış & Çıkarımlar
AI Insight⚡ TL;DR(1 Cümlede Hızlı Çıkarım)
Many examples are given to illustrate the essential conditions.
📌 3 Maddede Bu Makale
🎯
Amaç & Hipotez:In the present article, we expose various properties of unbounded absolutely weak Dunford?Pettis and unbounded absolutely weak compact operators on a Banach lattice E.
📊
Temel Bulgular & Veri:In addition to their topological and lattice properties, we investigate relationships between M-weakly compact operators, L-weakly compact operators, and order weakly compact operators with unbounded absolutely weak Dunford-Pettis operators.
💡
Sonuç & Katkı:Many examples are given to illustrate the essential conditions.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:uaw-Convergence · uaw-Dunford-Pettis operator · Banach lattice
Abstract
In the present article, we expose various properties of unbounded absolutely weak Dunford?Pettis and unbounded absolutely weak compact operators on a Banach lattice E. In addition to their topological and lattice properties, we investigate relationships between M-weakly compact operators, L-weakly compact operators, and order weakly compact operators with unbounded absolutely weak Dunford-Pettis operators. We show that the square of any positive uaw-Dunford-Pettis (M-weakly compact) operator on an order continuous Banach lattice is compact. Many examples are given to illustrate the essential conditions.
Anahtar kelimeler
🔖
Bu Makaleye Atıf Yap
ÖZCAN, N. E., GEZER, N. A., ZABETI, O. (2019). Unbounded absolutely weak Dunford-Pettis operators. Turkish Journal of Mathematics, Cilt: 43 - Sayı: 6, 2731–2740. https://ajindex.com/articles/198149