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Order bornological spaces and order ultrabornological spaces
Liang Hong
Ordered locally convex spaces is an important classes of spaces in the theory of ordered topological vector spaces just as locally convex spaces in the theory of topological vector…
On the relationship between three classes of operators on Riesz spaces
Liang Hong
Following several papers in the prior literature, we study the relationship between order bounded operators, topologically bounded operators and topologically continuous operators.…
Fuzzy Riesz subspaces, fuzzy ideals, fuzzy bands and fuzzy band projections
Liang Hong
Fuzzy ordered linear spaces, Riesz spaces, fuzzy Archimedean spaces and -complete fuzzy Riesz spaces were defined and studied in several works. Following the efforts along this…
Law of total probability and Bayes' theorem in Riesz spaces
Liang Hong
This note generalizes the notion of conditional probability to Riesz spaces using the order-theoretic approach. With the aid of this concept, we establish the law of total probabil…