Multiplication operators on vector-valued function spaces

Let E be a Banach function space on a probability measure space (\Omega ,\Sigma,\mu). Let X be a Banach space and E(X) be the associated K\"{o}the-Bochner space. An operator on E(X) is called a multiplication operator if it is given by multiplication by a function in L^{\infty}(\mu). In the main... Show more