Let $X$ be a vector lattice endowed with an ordering $\leq$. If for some operator $\phi:X_+\rightarrow X$ and $m,M\in X$, we have $$m\leq \phi(x)\leq M,\quad x\in X_+. $$ What would be the bound for $\phi^{-1}$? Or if it's bounded even.
2026-03-25 12:15:03.1774440903
inverse relation in a vector lattice
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