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On property- and semi-continuity properties of restricted Chebyshev-center maps in -direct sums
Teena Thomas
For a compact Hausdorff space , we prove that the closed unit ball of a closed linear subalgebra of the space of real-valued continuous functions on , denoted by , sati…
On Kakutani's characterization of the closed linear sublattices of -- Revisited
Teena Thomas
In his paper [Concrete representation of abstract -spaces. (A characterization of the space of continuous functions.), Ann. of Math., (), --.], S. Ka…
Restricted Chebyshev centers in -predual spaces
Teena Thomas
In this paper, we provide a necessary and sufficient condition for the existence of a restricted Chebyshev center of a compact subset of an -predual space in a closed convex…
On Property- in Banach spaces
Teena Thomas
We discuss a set-valued generalization of strong proximinality in Banach spaces, introduced by J. Mach [Continuity properties of Chebyshev centers, J. Approx. Theory, 29(3):223--23…