%0 Journal Article %T Levy's theorem and strong convergence of martingales in a dual space %A M. Saadoune %J ACTA MATHEMATICA UNIVERSITATIS COMENIANAE %D 2012 %I Acta Mathematica Universitatis Comenianae %X We prove Levy's Theorem for a new class of functions taking values in a dual space and we obtain almost sure strong convergence of martingales and mils satisfying various tightness conditions. %K s-measurable function %K conditional expectation %K martingale %K mil %K Levy's theorem %K tightness %K sequential weak upper limits %K weak-star %K weak and strong convergence %U http://www.emis.de/journals/AMUC/_vol-81/_no_1/_saadoune/saadoune.html