On cosine families of Jensen set-valued functions

Let K be a closed convex cone with the nonempty interior in a real Banach space. A necessary and sufficient condition is given below that a family \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\{F_t : t \in {\mathbb{R}}\}$$\end{document} of multifunctions Ft : K → cc(K) is a regular cosine family of continuous Jensen multifunctions.