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math.FA2026
On Nonlinear Idempotents and Metric Projections in Normed Spaces
Himanshu Kumar, Abdullah Bin Abu Baker, Fernanda Botelho
Let be a normed linear space. A map is called idempotent if . 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 be a complex normed space. A map is called idempotent if . A collection of nonzero distinct orthogonal ($P_1P_2 =…