Abstract For a positive integer n and a uniformly complete vector lattice E, let denote the n-fold Fremlin vector lattice symmetric tensor product of E. We prove that if there… Click to show full abstract
Abstract For a positive integer n and a uniformly complete vector lattice E, let denote the n-fold Fremlin vector lattice symmetric tensor product of E. We prove that if there exists a lattice homomorphism φ ∈ E ∼ then E is lattice isomorphic to a complemented sublattice of . Moreover, if ker(φ) is a projection band in E then the image of E is also a projection band in .
Keywords:
lattice symmetric;
fremlin vector;
symmetric tensor;
vector lattice;
lattice
Journal Title: Quaestiones Mathematicae
Year Published: 2019
Link to full text (if available)
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Journal Title: Quaestiones Mathematicae
Year Published: 2019
Link to full text (if available)
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recommendations!