Dependent, Ito Integrals David Levanony, Adam Shwartz and Ofer Zeitouni Department of Electrical Engineering Technion Israel Institute of Technology Haifa 32000, Israel Abstract Let fMt( ); t 0g 2IRd be a collection of continuous, continuous-time martingales such that for all t > 0, the associated increasing processes satisfy < M( ) >t!1 as k k ! 1. We show that if < M( ) >t grows with k k su c...

We investigate the problem of existence a bounded extension to $C(K)$ $c_0(I)$-valued operator $T$ defined on subalgebra induced by continuous increasing surjection $\phi :K\to L$, where $K$ and $L$ are compact lines. Gener