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http://hdl.handle.net/10662/15604
| Títulos: | Continuous multilinear operators on 𝙲(𝙺) spaces and polymeasures |
| Autores/as: | Bombal Gordón, Fernando |
| Palabras clave: | Operadores multilineales;Espacios de funciones continuas;Productos tensoriales de espacios Banach;Polimedidas;Multilinear operators;Spaces of continuous functions;Tensor products of Banach spaces;Polymeasures. |
| Fecha de publicación: | 2007 |
| Editor/a: | Universidad de Extremadura, Servicio de Publicaciones |
| Resumen: | Every continuous 𝛫-linear operator from a product 𝙲 (𝙺 ₁) × · · · × C(𝙺 ₖ) into a Banach space 𝑋 (𝙺 ₁ being compact Hausdorff spaces) admits a Riesz type integral representation 𝑇(𝑓₁, . . . , 𝑓ₖ) := ∫( 𝑓₁, . . . , 𝑓ₖ) dᵧ , where ᵧ is the representing polymeasure of 𝑇, i.e., a set function defined on the product of the Borel 𝜎-algebras Bo(𝙺 ₁) with values in 𝑋** which is separately finitely additive. As in the linear case, the interplay between 𝑇 and its representing polymeasure plays an important role. The aim of this paper is to survey some features of this relationship. Key words: Multilinear operators, spaces of continuous functions, tensor products of Banach. |
| URI: | http://hdl.handle.net/10662/15604 |
| ISSN: | 0213-8743 |
| Colección: | Extracta Mathematicae Vol. 22, nº 2 (2007) |
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|---|---|---|---|---|
| 2605-5686_22_2_127.pdf | 234,34 kB | Adobe PDF | Descargar |
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