Положительные изометрии пространств Орлича - Канторовича
Journal: Владикавказский математический журнал
Year: 2023

Let $B$ be a complete Boolean algebra, \ $Q(B)$ \ the Stone compact of $B$, and let $C_\infty (Q(B))$ be the commutative unital algebra of all continuous functions $x: Q(B) \to [-\infty, +\infty]$, assuming possibly the values $\pm\infty$ on nowhere-dense subsets of $Q(B)$. We consider the Orlicz--Kantorovich spaces ${(L_{\Phi}(B,m), \|\cdot\|_{\Phi})\subset C_\infty (Q(B))}$ \ with the Luxembourg norm associated with an Orlicz function $\Phi$ and a~vector-valued measure $m$, with values in the