In this paper, we show that if an Asplund space X is either a Banach lattice or a quotient space of C（K）, then it can be equivalently renormed so that the set of norm- attaining functionals contains an infinite dime...In this paper, we show that if an Asplund space X is either a Banach lattice or a quotient space of C（K）, then it can be equivalently renormed so that the set of norm- attaining functionals contains an infinite dimensional closed subspace of X＊ if and only if X＊ contains an infinite dimensional reflexive subspace, which gives a partial answer to a question of Bandyopadhyay and Godefroy.展开更多
As a counterpart to best approximation in normed linear spaces, the best coapproximation was introduced by Francbetti and Furl. In this paper, we shall consider the relation between coproximinality M in X and L^P（S,M...As a counterpart to best approximation in normed linear spaces, the best coapproximation was introduced by Francbetti and Furl. In this paper, we shall consider the relation between coproximinality M in X and L^P（S,M） in L^P（S,X）. Finally we give some results in cochebyshev subspaces and additional subspaces.展开更多
基金partially supported by NSFC,grant 11371296PhD Programs Foundation of MEC,Grant 20130121110032
文摘In this paper, we show that if an Asplund space X is either a Banach lattice or a quotient space of C（K）, then it can be equivalently renormed so that the set of norm- attaining functionals contains an infinite dimensional closed subspace of X＊ if and only if X＊ contains an infinite dimensional reflexive subspace, which gives a partial answer to a question of Bandyopadhyay and Godefroy.
文摘As a counterpart to best approximation in normed linear spaces, the best coapproximation was introduced by Francbetti and Furl. In this paper, we shall consider the relation between coproximinality M in X and L^P（S,M） in L^P（S,X）. Finally we give some results in cochebyshev subspaces and additional subspaces.
