Article ID Journal Published Year Pages File Type
8900346 Journal of Mathematical Analysis and Applications 2018 14 Pages PDF
Abstract
The paper aims to examine convexity and concavity conditions for homogeneous orthogonally additive polynomials in quasi-Banach lattices. We characterize (p,q)-convex quasi-Banach lattice by the property that every positive orthogonally additive polynomial defined on such lattice is (p,q)-convex as well as obtain some versions of Krivine factorization result and Grothendieck's inequality for orthogonally additive polynomials in quasi-Banach lattices.
Related Topics
Physical Sciences and Engineering Mathematics Analysis
Authors
,