TY - JOUR ID - Burdak2013 LB - Burdak2013 AU - Burdak, Zbigniew TI - On the decomposition of families of quasinormal operators ST - On the decomposition of families of quasinormal operators JO - Opuscula Math. JA - Opuscula Math. JF - Opuscula Mathematica PY - 2013 VL - 33 IS - 3 SP - 419 EP - 438 DO - http://dx.doi.org/10.7494/OpMath.2013.33.3.419 UR - http://dx.doi.org/10.7494/OpMath.2013.33.3.419 AB - The canonical injective decomposition of a jointly quasinormal family of operators is given. Relations between the decomposition of a quasinormal operator T and the decomposition of a partial isometry in the polar decomposition of T are described. The decomposition of pairs of commuting quasinormal partial isometries and its applications to pairs of commuting quasinormal operators is shown. Examples are given. KW - multiple canonical decomposition KW - quasinormal operators KW - partial isometry SN - 1232-9274 ER -