论文标题
在矢量值序列空间中的完全晶格
Complete latticeability in vector-valued sequence spaces
论文作者
论文摘要
首先，我们根据Jiménez-Rodríguez对技术进行调整，以证明一组不连接的非结合null null弱序列和一组脱节非正常的常规多溶性无效的无效无效的无效序列。然后，我们应用母亲矢量技术来证明$λ_π（e）\setMinusλ_s（e）$的完整晶格性$（\ ell_p \ wideHat {\ otimes} _ {|π|} e）\ setMinus（\ ell_p \ wideHat {\ otimes}_πe）$，其中$ e $是banach lattice and banach lattice and $ 1 <p <\ \ \ \ \ \ iffty $。
First we adjust a technique due to Jiménez-Rodríguez to prove the complete latticeability of the set of disjoint non-norm null weakly null sequences and of the set of disjoint non-norm null regular-polynomially null sequences in Banach lattices. Then we apply the mother vector technique to prove the complete latticeability of $λ_π(E) \setminus λ_s(E)$, which implies the complete latticeability of $(\ell_p\widehat{\otimes}_{|π|}E)\setminus(\ell_p\widehat{\otimes}_πE)$, where $E$ is a Banach lattice and $1 < p < \infty$.
