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Coordinate systems and maximal order complexity in Banach lattices

Avilés, A. et al.
arXiv (All) · Papers
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03e1546b15functional-analysis
We resolve three questions arising from the study of coordinate systems and order convergence in Banach lattices. Firstly, every order (respectively, $σ$-order) basis $(e_n)$ for a Banach lattice $X=[e_n]$ is automatically a Schauder basis. In fact, the associated partial sum projections satisfy a m
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