(L) SETS AND ALMOST (L) SETS IN BANACH LATTICES

Belmesnaoui Aqzzouz; Khalid Bouras

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(L) SETS AND ALMOST (L) SETS IN BANACH LATTICES

机译：Banach格中的（L）套和几乎（L）套

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摘要

We characterize (L) sets and almost (L) sets in Banach lattices. Also, we look at Banach lattices in which these two classes of sets coincide.

机译：我们用Banach格表征（L）集和几乎（L）集。另外，我们看一下这两组集合重合的Banach格。

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来源
《Quaestiones mathematicae》 |2013年第1期|107-118|共12页
作者
Belmesnaoui Aqzzouz; Khalid Bouras;
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作者单位

Universite Mohammed V-Souissi, Faculte des Sciences Economiques, Juridiques et Sociales, Departement d' Economie, B.P. 5295, SalaAljadida, Morocco;

Universite Ibn Tofail, Faculte des Sciences, Departement de Mathematiques, B.P. 133, Kenitra, Morocco;

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正文语种 eng
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关键词
(L) sets; Dunford-Pettis operator; almost Dunford-Pettis operator;

机译：（L）套;Dunford-Pettis运算符;几乎是Dunford-Pettis运算符;

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2. On closedness of convex sets in Banach lattices [J] . Tantrawan Made, Leung Denny H. Positivity . 2020,第4期

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3. L-Dunford–Pettis and Almost L-Dunford–Pettis Sets in Dual Banach Lattices [J] . Halimeh Ardakani, Manijeh Salimi International Journal of Analysis and Applications . 2018,第2期

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4. Convergence Analysis of Solution Sets for Minty Vector Quasivariational Inequality Problems in Banach Spaces [C] . Nguyen Van Hung, Dinh Huy Hoang, Vo Minh Tam, Control Instrumentation System Conference . 2020

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5. Invariant subspace problem and spectral properties of bounded linear operators on Banach spaces, Banach lattices, and topological vector spaces [D] . Troitsky, Vladimir G. 1999

机译：Banach空间，Banach格和拓扑矢量空间上有界线性算子的不变子空间问题和谱性质
6. Approximating distance between sets by multivalued coupling with application to uniformly convex Banach spaces [O] . Binayak S. Choudhury, Pranati Maity, Nikhilesh Metiya, -1

机译：通过多值耦合逼近集合之间的距离并应用于均匀凸的Banach空间
7. Almost L-Dunford-Pettis sets in Banach lattices and its applications [O] . Abderrahman Retbi 2019

机译：差不多L-Dunford-Pettis套装在Banach格子及其应用中
8. On Schwartz Operator Ideals Determined by the Order-Bounded Sets in a Banach Lattice [R] . Swart, J., Conradie, J. J. 1980

机译：关于Banach格上有界集的schwartz算子理想

(L) SETS AND ALMOST (L) SETS IN BANACH LATTICES

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