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math.FA2023
Order theoretical structures in atomic JBW-algebras: disjointness, bands, and centres
Onno van Gaans, Anke Kalauch, Mark Roelands
Every atomic JBW-algebra is known to be a direct sum of JBW-algebra factors of type I. Extending Kadison's anti-lattice theorem, we show that each of these factors is a disjointnes…
math.FA2023
Strong completeness of a class of L2-type Riesz spaces
Anke Kalauch, Wenchi Kuo, Bruce Watson
Strong convergence and convergence in probability were generalized to the setting of a Riesz space with conditional expectation operator, T, in [Y. Azouzi, W.-C. Kuo, K. Ramdane, B…