On tensor products of nuclear operators in Banach spaces
| dc.contributor.author | Oleg Reinov | |
| dc.date.accessioned | 2023-05-10T13:22:47Z | |
| dc.date.available | 2023-05-10T13:22:47Z | |
| dc.date.issued | 2021 | |
| dc.description.abstract | The following result of G. Pisier contributed to the appearance of this paper: if a convolution operator ★f : M(G) → C(G), where $G$ is a compact Abelian group, can be factored through a Hilbert space, then f has the absolutely summable set of Fourier coefficients. We give some generalizations of the Pisier's result to the cases of factorizations of operators through the operators from the Lorentz-Schatten classes Sp,q in Hilbert spaces both in scalar and in vector-valued cases. Some applications are given. | |
| dc.identifier.issn | 2409-8906 | |
| dc.identifier.uri | https://card-file.ontu.edu.ua/handle/123456789/24994 | |
| dc.source | Proceedings of the International Geometry Center | |
| dc.title | On tensor products of nuclear operators in Banach spaces |