F. Botelho

works on

chebyshev subsets 1 idempotent maps 1 metric projection 1 nonlinear operators 1 normed spaces 1

From the 1 of 2 linked papers with an AI index.

collaborators

2 papers

math.FA2026

On Nonlinear Idempotents and Metric Projections in Normed Spaces

Himanshu Kumar, Abdullah Bin Abu Baker, Fernanda Botelho

The paper introduces new classes of possibly nonlinear idempotent maps on normed linear spaces and investigates their properties, especially focusing on metric projections onto Che…

math.FA2026

Generalized idempotents on the space of analytic functions with bounded derivatives

Himanshu Kumar, Abdullah Bin Abu Baker, Fernanda Botelho

Let $X$ be a complex normed space. A map $P : X \to X$ is called idempotent if $P^{2} = P$ . A collection $C = {P_{1}, P_{2}}$ of nonzero distinct orthogonal ($P_1P_2 =…