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Linear combination of projections in von Neumann factors
(Springer Nature, 2020)
It is shown that any self-adjoint operator in a finite discrete or infinite von Neumann factor can be written as a real linear combination of 4 projections. On the other hand, in any type II1 algebra and in any type II∞ ...
Notes on noncommutative LP and Orlicz spaces
(Wydawnictwo Uniwersytetu Łódzkiego, 2020)
Since the pioneering work of Dixmier and Segal in the early 50’s, the theory of noncommutative LP-spaces has grown into a very refined and important theory with wide applications. Despite this fact there is as yet no ...