RT Journal Article
T1 Homogeneous orthogonally additive polynomials on Banach lattices
A1 Llavona, José G.
A1 Benyamini, Yoav
A1 Lassalle, Silvia
AB The main result in this paper is a representation theorem for homogeneous orthogonally additive polynomials on Banach lattices. The representation theorem is used to study the linear span of the set of zeros of homogeneous real-valued orthogonally additive polynomials. It is shown that in certain lattices every element can be represented as the sum of two or three zeros or, at least, can be approximated by such sums. It is also indicated how these results can be used to study weak topologies induced by orthogonally additive polynomials on Banach lattices.
PB Oxford University Press
SN 0024-6093
YR 2006
FD 2006
LK https://hdl.handle.net/20.500.14352/50049
UL https://hdl.handle.net/20.500.14352/50049
LA eng
NO Technion Fund for the Promotion of Research
DS Docta Complutense
RD 9 abr 2025