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Complete latticeability in vector‐valued sequence spaces

Complete latticeability in vector‐valued sequence spaces

Abstract Using a technique due to Jiménez–Rodríguez, first we 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 …