论文标题

正规多线性操作员的积极投射张量产品和空间上的积极的Schur属性

The positive Schur property on positive projective tensor products and spaces of regular multilinear operators

论文作者

Botelho, Geraldo, Bu, Qingying, Navoyan, Khazhak

论文摘要

我们表征了Banach Lattices的正投射张量张量产品中的阳性Schur特性,我们与弱操作员拓扑建立了联系,并为常规的多线性操作员/同质多项式提供了必要和足够的条件,以DEWEKIND完整的Banach lattice中的deptekind lattice占据了值。

We characterize the positive Schur property in the positive projective tensor products of Banach lattices, we establish the connection with the weak operator topology and we give necessary and sufficient conditions for the space of regular multilinear operators/homogeneous polynomials taking values in a Dedekind complete Banach lattice to have the positive Schur property.

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