Positive Cones and $L_p$-Spacesfor von Neumann Algebras
Positive Cones and $L_p$-Spacesfor von Neumann Algebras
The L_p -space L_p (M, \eta) for a von Neumann algebra M with reference to its cyclic and separating vector \eta in the standard representation Hilbert space H of M is constructed either as a subset of H (for 2\leq p \leq \infty ), or as the completion of H …