Устойчивые состояния в комплексных линейных пространствах

In the presented work the simple general scheme of constructing of subspace of robust states in complex linear space of states $<\mathfrak{X},\mathfrak{i}>$ with function $\mathfrak{i}:\mathfrak{X} \to \mathbb{R}$ preserving finiteness with regard to scalar multiplication is offered.