most citedFinite sums of projections in von Neumann algebras

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math.OA2010★ 6 cited

Finite sums of projections in von Neumann algebras

Herbert Halpern, Victor Kaftal, Ping Wong Ng +1

We first prove that in a sigma-finite von Neumann factor M, a positive element with properly infinite range projection R_a is a linear combination of projections with positive…