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math.FA2024
Coexistence of Hilbert space effects and orthogonality
Anil Kumar Karn
In this paper, we show that every pair of absolutely compatible Hilbert space effects are coexistent and exhibit a partial orthogonality property. We introduce the notion of partia…
math.FA2024
A generalization of Lipschitz mappings
Anil Kumar Karn, Arindam Mandal
Using the notion of modulus of continuity at a point of a mapping between metric spaces, we introduce the notion of extensively bounded mappings generalizing that of Lipschitz mapp…
math.FA2024
Projections in an order unit space and orthogonality
Anil Kumar Karn
We introduce the notion of order projections using the order unit property of a positive element in an order unit space and characterize them in terms of (geometric) orthogonality.…