, Volume 9, Issue 2, pp 263-269

On the complemented subspaces problem

Rent the article at a discount

Rent now

* Final gross prices may vary according to local VAT.

Get Access

Abstract

A Banach space is isomorphic to a Hilbert space provided every closed subspace is complemented. A conditionally σ-complete Banach lattice is isomorphic to anL p -space (1≤p<∞) or toc 0(Γ) if every closed sublattice is complemented.