The triadjoint of an orthosymmetric bimorphism |
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| Authors: | Mohamed Ali Toumi |
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| Institution: | (1) Department of Mathematics, Wesleyan University, Middletown, CT 06457, USA;(2) 5 W. Oak St., Ramsey, NJ 07446, USA |
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| Abstract: | Let A and B be two Archimedean vector lattices and let (A′)′
n
and (B′)′
n
be their order continuous order biduals. If Ψ: A × A → B is a positive orthosymmetric bimorphism, then the triadjoint Ψ***: (A′)′
n
× (A′)′
n
→ (B′)′
n
of Ψ is inevitably orthosymmetric. This leads to a new and short proof of the commutativity of almost f-algebras. |
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| Keywords: | |
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