| Full text | |
| Author(s): |
da Silva, Eduardo Brandani
;
Fernandez, Dicesar L.
;
de Andrade Neves, Marcus Vinicius
Total Authors: 3
|
| Document type: | Journal article |
| Source: | BANACH JOURNAL OF MATHEMATICAL ANALYSIS; v. 15, n. 2, p. 36-pg., 2021-04-01. |
| Abstract | |
Current work defines Schur representation of a bilinear operator T: H x H -> H, where H is a separable Hilbert space. Introducing the concepts of self-adjoint bilinear operators, ordered eigenvalues and eigenvectors, we prove that if T is compact, self-adjoint, and its eigenvalues are ordered, then T has a Schur representation, thus obtaining a spectral theorem for T on real Hilbert spaces. We prove that the hypothesis of the existence of ordered eigenvalues is fundamental. (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 |