Original Articles

WEAK and NORM COMPACTNESS ON KÖTHE-BOCHNER FUNCTION SPACES

Published in: Quaestiones Mathematicae
Volume 21 , issue 1-2 , 1998 , pages: 75–87

DOI: 10.1080/16073606.1998.9632027

Author(s): Santiago Díaz Departamento de Matemática Aplicada II, Escuela Superior de Ingenieros Industriales, Spain , Fernando Mayoral Departamento de Matemática Aplicada II, Escuela Superior de Ingenieros Industriales, Spain

Keywords: Primary 46E30 , 46E40 , Secondary 28A99 , 40E05 , Primary 46E30 , 46E40 , Secondary 28A99 , 40E05

Download full text Get new issue alerts

Abstract

We present some characterizations of weak, weak conditional and norm compactness in spaces of vector valued order continuous Köthe function spaces. These characterizations use oscillation conditions over functions and regular methods of summability.

« THE LIMIT SET OF RIEMANN SUMS OF A VECTOR STIELTJES INTEGRAL

SOME CONSEQUENCES OF THE TARSKI-KANTOROVITCH ORDERING THEOREM IN METRIC FIXED POINT THEORY »