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Erdoğan, E.

Factorization of multilinear operators defined on products of function spaces. (English) Zbl 07506360

Linear Multilinear Algebra 70, No. 2, 177-202 (2022).
The author obtain strong and interesting results where introduced the factorization of multilinear operators defined on topological product of particular function spaces through a generic continuous multilinear operator. As application, lattice geometric inequalities and integral representations are obtained and some isometries between product factorable multilinear maps and orthogonally additive polynomials are presented.
Reviewer: Elhadj Dahia (Bou Saâda)

MSC:

47H60 Multilinear and polynomial operators
47A68 Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators
47B38 Linear operators on function spaces (general)
46E30 Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)

Keywords:

multilinear and polynomial operators; Banach function spaces; factorization; zero product preservation; symmetric operator
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\textit{E. Erdoğan}, Linear Multilinear Algebra 70, No. 2, 177--202 (2022; Zbl 07506360)
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