Add to ORKGAbstract. In this paper we study very smooth points of Banach spaces with special emphasis on spaces of operators. We show that when the space of compact operators is an M-ideal in the space of bounded operators, a very smooth operator T attains its norm at a unique vector x (up to a constant multiple) and T.x / is a very smooth point of the range space. We show that if for every equivalent norm on a Banach space, the dual unit ball has a very smooth point then the space has the Radon–Nikodým property. We give an example of a smooth Banach space without any very smooth points
In this paper, we study the extension of isometric operators between unit spheres of separable smoot...
AbstractThe aim of this paper is to characterize the smooth points of the unit ball of L(1p, E), whe...
This is a short survey on some recent as well as classical results and open problems in smoothness a...
In this paper we study very smooth points of Banach spaces with special emphasis on spaces of operat...
Let X be an abstract L-space and let Y be any Banach space. Motivated by a classical result of T. J....
We introduce the notion of approximate norm attainment set of a bounded linear operator between Bana...
We study the extreme points of the unit ball of a Banach space that remain extreme when considered, ...
We provide a characterization of the Radon-Nikodym property for a Banach space Y in terms of the den...
Zizler∗ Two smoothness characterizations of weakly compact sets in Ba-nach spaces are given. One tha...
Let K be a compact Hausdortf space and let E be a Banach lattice. By $C(K,E)$ we denote the Banach l...
For Banach spaces X, Y, in the space of bounded linear oper-ators L(X, Y), we examine the relation b...
Let $X, Y$ be infinite dimensional, Banach spaces. Let $\mathcal{L}(X, Y)$ be the space of bounded o...
AbstractLet X be a Banach space and B1(X) the unit ball of X. A point x of B1(X) is called an expose...
AbstractIt is shown that a Banach space E has the Radon-Nikodym property (equivalently, every bounde...
AbstractThe aim of this paper is to characterize the smooth points of the unit ball of L(1p, E), whe...
In this paper, we study the extension of isometric operators between unit spheres of separable smoot...
AbstractThe aim of this paper is to characterize the smooth points of the unit ball of L(1p, E), whe...
This is a short survey on some recent as well as classical results and open problems in smoothness a...
In this paper we study very smooth points of Banach spaces with special emphasis on spaces of operat...
Let X be an abstract L-space and let Y be any Banach space. Motivated by a classical result of T. J....
We introduce the notion of approximate norm attainment set of a bounded linear operator between Bana...
We study the extreme points of the unit ball of a Banach space that remain extreme when considered, ...
We provide a characterization of the Radon-Nikodym property for a Banach space Y in terms of the den...
Zizler∗ Two smoothness characterizations of weakly compact sets in Ba-nach spaces are given. One tha...
Let K be a compact Hausdortf space and let E be a Banach lattice. By $C(K,E)$ we denote the Banach l...
For Banach spaces X, Y, in the space of bounded linear oper-ators L(X, Y), we examine the relation b...
Let $X, Y$ be infinite dimensional, Banach spaces. Let $\mathcal{L}(X, Y)$ be the space of bounded o...
AbstractLet X be a Banach space and B1(X) the unit ball of X. A point x of B1(X) is called an expose...
AbstractIt is shown that a Banach space E has the Radon-Nikodym property (equivalently, every bounde...
AbstractThe aim of this paper is to characterize the smooth points of the unit ball of L(1p, E), whe...
In this paper, we study the extension of isometric operators between unit spheres of separable smoot...
AbstractThe aim of this paper is to characterize the smooth points of the unit ball of L(1p, E), whe...
This is a short survey on some recent as well as classical results and open problems in smoothness a...