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math.FA2022★ 2 cited
A Hahn-Jordan decomposition and Riesz-Frechet representation theorem in Riesz spaces
Anke Kalauch, Wen-Chi Kuo, Bruce Alastair Watson
We give a Hahn-Jordan decomposition in Riesz spaces which generalizes that of [{{\sc B. A. Watson}, {An Andô-Douglas type theorem in Riesz spaces with a conditional expectation,} {…
math.PR2022
The Kac formula and Poincaré recurrence theorem in Riesz spaces
Youssef Azouzi, Mohamed Amine Ben Amor, Jonathan Homann +2
Riesz space (non-pointwise) generalizations for iterative processes are given for the concepts of recurrence, first recurrence and conditional ergodicity. Riesz space conditional v…