A Bishop-Phelps-Bollobás type property for minimum attaining operators

The Bishop – Phelps – Bollobás property for numerical radius in ` 1 ( C ) by Antonio

We show that the set of bounded linear operators from X to X admits a Bishop–Phelps–Bollobás type theorem for numerical radius whenever X is `1(C) or c0(C). As an essential tool we provide two constructive versions of the classical Bishop–Phelps– Bollobás theorem for `1(C).

Bishop-Phelps type Theorem for Normed Cones

In this paper the notion of  support points of convex sets  in  normed cones is introduced and it is shown that in a  continuous normed cone, under the appropriate conditions, the set of support points of a  bounded Scott-closed convex set is nonempty. We also present a Bishop-Phelps type Theorem for normed cones.

The Nonlinear Separation Theorem and a Representation Theorem for Bishop-Phelps Cones

The paper presents a theorem for representation a given cone as a Bishop–Phelps cone in normed spaces and studies interior and separation properties for Bishop–Phelps cones. The representation theorem is formulated in the form of a necessary and sufficient condition and provides relationship between the parameters determining the BishopPhelps cone. The necessity is given in reflexive Banach spa...

A Bollobás-type theorem for affine subspaces

a cauchy-schwarz type inequality for fuzzy integrals

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