| Full text | |
| Author(s): |
da Silva, Eduardo Brandani
;
Fernandez, Dicesar Lass
;
Neves, Marcus Vinicius de Andrade
Total Authors: 3
|
| Document type: | Journal article |
| Source: | INDAGATIONES MATHEMATICAE-NEW SERIES; v. 33, n. 2, p. 23-pg., 2022-02-18. |
| Abstract | |
Current work defines Schmidt representation of a bilinear operator T : H-1 x H-2 -> K, where H-1, H-2 and K are separable Hilbert spaces. Introducing the concept of singular value and ordered singular value, we prove that if T is compact, and its singular values are ordered, then T has a Schmidt representation on real Hilbert spaces. We prove that the hypothesis of existence of ordered singular values is fundamental. (C) 2021 Royal Dutch Mathematical Society (KWG). Published by Elsevier B.V. All rights reserved. (AU) | |
| FAPESP's process: | 18/19764-4 - s-Numbers, Interpolation and Bilinear Operator Ideals |
| Grantee: | Dicesar Lass Fernandez |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - Brazil |