We present an overview of a result by Yulĭı Andreevich Dubinskĭı [Mat. Sb. 67 (109) (1965); translated in Amer. Math. Soc. Transl. (2) 67 (1968)], concerning the compact embedding of a seminormed set in L(0, T ;A0), where A0 is a Banach space and p ∈ [1, ∞]; we establish a variant of Dubinskĭı’s theorem, where a seminormed nonnegative cone is used instead of a seminormed set; and we explore the...
