Hahn-Banach extension theorem for interval-valued functions and existence of quasilinear functionals
Halise Levent, Yılmaz Yılmaz · New Trends in Mathematical Science · 2018
In this paper we focus on developing bounded quasilinear interval-valued functions.We deal with the Hahn-Banach extension theorem for interval-valued functions.Finally, we show that there are enough bounded quasilinear functionals on the space of interval-valued functions to distinguish between its the regular elements.