Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6419335 | Journal of Mathematical Analysis and Applications | 2012 | 18 Pages |
Abstract
This paper is the first systematic study of homogeneous polynomials on Banach lattices. A variety of new Banach spaces and Banach lattices of multilinear maps, homogeneous polynomials, and operators are introduced. The main technique is to employ positive tensor products and quotients of positive tensor products. Our theorems generalize the results on orthogonally additive polynomials by Benyamini, Lassalle, and Llavona (2006) in [4], the results by Grecu and Ryan (2005) in [14], and the results by Sundaresan (1991) in [23].
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Qingying Bu, Gerard Buskes,