Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8900346 | Journal of Mathematical Analysis and Applications | 2018 | 14 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Z.A. Kusraeva,