3 citations · 3 across the 6 of their papers we have counts for
6 papers
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…
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 =…
The Existence of Linear Selection and the Quotient Lifting Property
Monika, Fernanda Botelho, Richard Fleming
Lifting properties for Banach spaces are studied. An alternate version of the lifting property due to Lindenstrass and Tzafriri is proposed and a characterization, up to isomorphis…
Isometries and Hermitian operators on
Fernanda Botelho, James Jamison
In this paper we describe the surjective linear isometries on a vector valued little Bloch space with range space a strictly convex and smooth complex Banach space. We also describ…
Isometries and Hermitian Operators on Zygmund spaces
Fernanda Botelho
In this paper we characterize the isometries of subspaces of the little Zygmund space. We show that the isometries of these spaces are surjective and represented as integral operat…
Representation of Generalized Bi-Circular Projections on Banach Spaces
A. B. Abubaker, Fernanda Botelho, James Jamison
We prove several results concerning the representation of projections on arbitrary Banach spaces. We also give illustrative examples including an example of a generalized bi-circul…