Complementation in the Fremlin vector lattice symmetric tensor products-I. Issue 5 (3rd August 2020)

• Record Type: Journal Article
• Authors: Ji, Donghai; Navoyan, Khazhak; Bu, Qingying
• Is Part Of: Quaestiones mathematicae. Volume 43:Issue 5/6(2020)
• Page Start: 773
• Page End: 782
• Publication Date: 2020-08-03
• Subjects: 46B42 -- 46G25 -- 46M05; Fremlin tensor product -- complementation -- projection band; Mathematics -- Periodicals; 510.5
• DOI: 10.2989/16073606.2019.1605422
• Languages: English
• ISSNs: 1607-3606

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 .