论文标题
运营商隶属于Banach晶格特性和包围规范
Operators Affiliated to Banach Lattice Properties and the Enveloping Norms
论文作者
论文摘要
最近的几篇论文致力于通过涉及Banach晶格结构的Limited，Grothendieck和Dunford-Pettis运营商等的各种修改。在本文中，显示许多这些运营商似乎是隶属于Banach Lattices的众所周知特性的操作员，例如Disshoint（Dual）Schur属性，脱节性Grothendieck属性，属性（D）以及晶格操作的顺序W* - 续点。事实证明，由上述操作员定期版本组成的空间都是Banach空间。研究了此类操作员的主导问题。
Several recent papers were devoted to various modifications of limited, Grothendieck, and Dunford--Pettis operators, etc., through involving the Banach lattice structure. In the present paper, it is shown that many of these operators appear as operators affiliated to well known properties of Banach lattices, like the disjoint (dual) Schur property, the disjoint Grothendieck property, the property (d), and the sequential w*-continuity of the lattice operations. It is proved that the spaces consisting of regularly versions of the above operators are all Banach spaces. The domination problem for such operators is investigated.
