The random dualSpaces of a class of quasi-normed Spaces is given. The completeness of the Spaces having bounded operators all most everywhere has also been proved.
To study the properties of dualSpaces of Orlicz Spaces, we can understand the Orlicz Spaces better, and we get some properties which are hold in the Orlicz Spaces can be extended to its dualSpaces.
It proves that K _uniformly smooth property and K _uniformly rotund are dual properties, and that some properties as the K _uniformly smooth Spaces are K _strongly smooth Spaces.