Noncommutative decomposition theorems in Riesz spaces

De Lucia, Paolo; Morales, Pedro

doi:10.1090/S0002-9939-1994-1203982-0

Noncommutative decomposition theorems in Riesz spaces
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by Paolo De Lucia and Pedro Morales PDF

Proc. Amer. Math. Soc. 120 (1994), 193-202 Request permission

Abstract:

We show that an additive function defined on an orthomodular poset and taking its values in the positive cone of a normed Riesz space admits a Lebesgue Decomposition and a Yosida-Hewitt Decomposition.

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