Strong limit theorems in noncommutative $L_2$-spaces. Jajte, R. Volume 1477 of Lecture Notes in Mathematics, Springer-Verlag, Berlin, 1991.
bibtex   
@book {MR1122589,
    AUTHOR = {Jajte, Ryszard},
     TITLE = {Strong limit theorems in noncommutative {$L_2$}-spaces},
    SERIES = {Lecture Notes in Mathematics},
    VOLUME = {1477},
 PUBLISHER = {Springer-Verlag},
   ADDRESS = {Berlin},
      YEAR = {1991},
     PAGES = {x+113},
      ISBN = {3-540-54214-0},
   MRCLASS = {46L50 (60B99 60F15)},
  MRNUMBER = {1122589 (92h:46091)},
MRREVIEWER = {Carlo Cecchini},
  BOEKCODE = {60F15},
}

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