A. Karn

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20242026

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5 papers · 1 filter

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…

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…

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

Coexistence of Hilbert space effects and orthogonality

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