Integral representation of product factorable bilinear operators and summability of bilinear maps on C(K)-spaces
| Autor: | Ezgi Erdogan, E. A. Sánchez Pérez |
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| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
Pure mathematics
Pietsch integral Applied Mathematics 010102 general mathematics Bilinear interpolation Orthogonally additive polynomials Bilinear form Operator theory 01 natural sciences Injective function 010101 applied mathematics Operator (computer programming) Tensor product Factorization Product (mathematics) Surnmability 0101 mathematics C(K)-spaces MATEMATICA APLICADA Bilinear operators Analysis Mathematics |
| Zdroj: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia instname |
| Popis: | [EN] We present a constructive technique to represent classes of bilinear operators that allow a factorization through a bilinear product, providing a general version of the well-known characterization of integral bilinear forms as elements of the dual of an injective tensor product. We show that this general method fits with several known situations coming from different contexts-harmonic analysis, C*-algebras, C(K)-spaces, operator theory, polynomials-, providing a unified approach to the integral representation of a broad class of bilinear operators. Some examples and applications are also shown, regarding for example operator spaces and summability properties of bilinear maps. (C) 2019 Elsevier Inc. All rights reserved. The second author was supported by Ministerio de Ciencia, Innovation y Universidades, Agencia Estatal de Investigation and FEDER, Grant MTM2016-77054-C2-1-P |
| Databáze: | OpenAIRE |
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