3 citations · 8 across the 20 of their papers we have counts for
26 papers
Bijections on the set of extreme points in a compact convex set
Anil Kumar Karn, Susmita Seal
In a recent work, Roelands and Tiersma proved that, for a compact convex set , the space of all real-valued continuous affine functions on , is a JB-algebra if and onl…
Position of in
Anil Kumar Karn, Arindam Mandal
We prove that is complemented in (via a norm-one projection) provided that is a dual space. Next, we introduce a vector-valued Lipschitz-free space $F_Y(…
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…
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…
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.…
Normed linear spaces which are isometric to order unit spaces
Anil Kumar Karn
In this paper, we consider the linear direct sum of a real normed linear space with an order unit space and with a base normed space to obtain respectively a new order unit space a…