global-journal-of-science-frontier-research-f-mathematics-decision Global Journal of Science Frontier Research - F: Mathematics & Decision 0975-5896 2249-4626 Global Journals Publishing Group Incorporated 10.34257/GJSFRF256669 256669 Positivity and the Michael’s Problem Positivity and the Michael's Problem Solution LaayouniMustapha Department of Mathematics, Faculty of Science and Technology, U. M. I. Errachidia, Morocco. 03 07 2026 26 1

We define an order on (mathbb { C }) that makes it a Banach lattice. Having established properties of this order, we shall use them to provide a brief proof of the solution to the problem posed by E. Michael in 1952 {[}8{]}, which was resolved in {[}6{]} in 2024 using theorems of functional analysis.

 Banach lattice Fréchet lattice Michael's problem Complex cone Gelfand transform Automatic continuity. Full Text