| Autor: |
Ezgi Erdoğan, José M. Calabuig, Enrique A. Sánchez Pérez |
| Rok vydání: |
2018 |
| Předmět: |
|
| Zdroj: |
Ann. Funct. Anal. 9, no. 2 (2018), 166-179 |
| ISSN: |
2008-8752 |
| DOI: |
10.1215/20088752-2017-0034 |
| Popis: |
We study bilinear operators acting on a product of Hilbert spaces of integrable functions—zero-valued for couples of functions whose convolution equals zero—that we call convolution-continuous bilinear maps. We prove a factorization theorem for them, showing that they factor through $\ell^{1}$ . We also present some applications for the case when the range space has some relevant properties, such as the Orlicz or Schur properties. We prove that $\ell^{1}$ is the only Banach space for which there is a norming bilinear map which equals zero exactly in those couples of functions whose convolution is zero. We also show some examples and applications to generalized convolutions. |
| Databáze: |
OpenAIRE |
| Externí odkaz: |
|
