Research Article

Complementation in the Fremlin vector lattice symmetric tensor products-I

Published in: Quaestiones Mathematicae
Volume 43 , issue 5-6 : Special issue dedicated to the memory of Professor Joe Diestel , 2020 , pages: 773–782

DOI: 10.2989/16073606.2019.1605422

Author(s): Donghai Ji , China , Khazhak Navoyan , USA , Qingying Bu , USA

Keywords: 46B42 , 46G25 , 46M05 , 46B42 , 46G25 , 46M05

Download full text Get new issue alerts

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 .

« Relative interior and closure of the set of inner points

Extension and integral representation of the finite Hilbert transform in rearrangement invariant spaces »