The factorisation property of l ∞ ( Xk )
The factorisation property of l ∞ ( Xk )
复制标题
l ≤ ( Xk ) 的因式分解性质
DOI：
10.1017/s0305004120000304
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发表时间：
2021
影响因子：
0.8
通讯作者：
SCHLUMPRECHT, THOMAS
中科院分区：
文献类型：
--
作者：
LECHNER, RICHARD;MOTAKIS, PAVLOS;MÜLLER, PAUL F.X.;SCHLUMPRECHT, THOMAS
本文考虑以下问题：设Xk是一个归一化基（e(k, j)）j的Banach空间，其双正交函数表示为，令为它们的l∞和，设为一个大对角线的有界线性算子，即在什么条件下Z因子上的恒等式通过T？本文的目的是制定答案是肯定的一般条件。
In this paper we consider the following problem: let Xk, be a Banach space with a normalised basis (e(k, j))j, whose biorthogonals are denoted by , for , let be their l∞-sum, and let be a bounded linear operator with a large diagonal, i.e., Under which condition does the identity on Z factor through T? The purpose of this paper is to formulate general conditions for which the answer is positive.