A. Karn

collaborators

4 papers

math.FA2026

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 $K$ , the space $A (K)$ of all real-valued continuous affine functions on $K$ , is a JB-algebra if and onl…

math.FA2025

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.…

math.FA2025

Position of $L (X, Y)$ in $L i p_{0} (X, Y)$

Anil Kumar Karn, Arindam Mandal

We prove that $L (X, Y)$ is complemented in $L i p_{0} (X, Y)$ (via a norm-one projection) provided that $Y$ is a dual space. Next, we introduce a vector-valued Lipschitz-free space $F_Y(…

math.FA2025

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…

Bijections on the set of extreme points in a compact convex set

Projections in an order unit space and orthogonality

Position of L(X,Y) in Lip0​(X,Y)

A generalization of Lipschitz mappings

Position of $L (X, Y)$ in $L i p_{0} (X, Y)$