Every Rearrangement-Invariant Quasi-Banach Function Space Is an Interpolation Space Between Two Lorentz Spaces

We extend some results of Kwok-Pun Ho. In particular, it will be shown that every rearrangement-invariant quasi-Banach function space on a totally σ σ -finite measure space (Ω ,μ ) ( Ω , μ ) with a non-atomic measure μ μ can be expressed in the form E =F(Lp₀,q₀,Lp₁,q₁) E = F ( L p 0 , q 0 , L p 1 , q 1 ) for an interpolation functor F F , where the construction of the functor F F is given based on the space E itself.