, Volume 9, Issue 2, pp 263-269

On the complemented subspaces problem

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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.