Abdullah Bin Abu Baker

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math.FA2026

Generalized tri-circular projections on some vector-valued spaces of analytic functions

Hemant Kumar, Himanshu Kumar, Abdullah Bin Abu Baker

In this paper, we characterize generalized tri-circular projections on the following three vector-valued spaces of analytic functions on the open unit disk $D$ : the Hardy…

math.FA2026

Generalized tri-circular projections on some spaces of analytic functions

Hemant Kumar, Himanshu Kumar, Rahul Maurya +1

In this paper, we obtain the structure of a class of contractive projections, known as generalized tri-circular projections, on some functional Banach spaces on the open unit disk…

math.FA2026

On Nonlinear Idempotents and Metric Projections in Normed Spaces

Himanshu Kumar, Abdullah Bin Abu Baker, Fernanda Botelho

Let $X$ be a normed linear space. A map $P : X \to X$ is called idempotent if $P^{2} = P$ . In this paper, we introduce some new classes of idempotent maps (linearity is not as…

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 =…