| Under certain conditions,the representations of the isometric operator acting on a quanternionic continuous space and exhaustive linear operator from a quanternionic continuous space to a quaternionic quasi-Banach space are respectively given,and the integral representation of the bounded right quaternionic linear operator acting on the quaternionic function space L~1,and the commutant of multiplication operator on the quaternionic function space L~2 are characterized,respectively.In addition,with certain restrict condtions,the isometry of ·composition operator the similiarity of left(9)multiplication operator and acting on quaternionic Hardy spaces are also discussed.The discussion to these properties of certain concerete operator including isometric operator,exhaustive linear operator,multiplication operator and composition operator etc.are helpful to investigate the characterzation of general linear operator acting quaternionic function spaces. |
