Product factorable multilinear operators defined on sequence spaces
| Autor: | Ezgi Erdoğan |
|---|---|
| Přispěvatelé: | Erdogan, Ezgi |
| Rok vydání: | 2020 |
| Předmět: |
Matematik
Pure mathematics Multilinear map polynomials Scalar (mathematics) Mathematics::Classical Analysis and ODEs zero product preserving map General Medicine BILINEAR OPERATORS Sequence spaces symbols.namesake Compact space Factorization factorization MAPS Weierstrass factorization theorem symbols Sequence spaces multilinear operators factorization zero product preserving map polynomials ORTHOGONALLY ADDITIVE POLYNOMIALS Mathematics ALGEBRAS multilinear operators |
| Zdroj: | Volume: 69, Issue: 2 1146-1160 Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics |
| ISSN: | 1303-5991 2618-6470 |
| DOI: | 10.31801/cfsuasmas.752148 |
| Popis: | We prove a factorization theorem for multilinear operators acting in topological products of spaces of (scalar) p-summable sequences through a product. It is shown that this class of multilinear operators called product factorable maps coincides with the well-known class of the zero product preserving operators. Due to the factorization, we obtain compactness and summability properties by using classical functional analysis tools. Besides, we give some isomorphisms between spaces of linear and multilinear operators, and representations of some classes of multilinear maps as n-homogeneous orthogonally additive polynomials. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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