Some Rotundities of Orlicz–Lorentz Spaces.

K-UR, K-LUR and K-R are the generalizations of UR, LUR and R respectively, which are of great significance in Banach space theory. While in Orlicz–Lorentz function space Λ φ , ω ∘ [ 0 , γ) equipped with the Orlicz norm, the research methods of K-UR, K-LUR and K-R are much more complicated than those of UR, LUR and R. In this paper we obtain some criteria of K-UR, K-LUR and K-R of Λ φ , ω ∘ [ 0 , γ) by means of the norm of dual space and Hμ property of Λ φ , ω ∘ [ 0 , γ) . [ABSTRACT FROM AUTHOR]