A general Jensen type inequality for positive bilinear operators between uniformly complete vector lattice is proved. Then some new inequalities for linear and bilinear operators and an interpolation result for positive bilinear operators between Calderón–Lozanovskiĭ spaces are deduced. The proof of the main result relies upon homogeneous functional calculus on vector lattices and the Fremlin tensor product of Archimedean vector lattices.
Positivity – Springer Journals
Published: Feb 26, 2011
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