On the Lattice Structure of the Space of all Bochner Integrable Banach Lattice-Valued Functions

Abstract

Suppose is a finite measure space, E is a Banach lattice, and is the space of all Bochner integrable E valued functions. In this note, we show that is a KB-space or has the sequential Fatou property if and only if so is E Among this, some results about Bochner integral convergence in using order structure of, have been proved, as well../files/site1/files/72/13Abstract.pdf

Keywords

• bochner integral
• kb-space
• fatou property
• banach lattice.