A non standard approach of spectral theory of self-adjoint operators (generalized Gelfand eigenvectors)
| Title: | A non standard approach of spectral theory of self-adjoint operators (generalized Gelfand eigenvectors) |
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| Authors: | Meziou, Fatma Karray |
| Publication Year: | 2006 |
| Collection: | Mathematics |
| Subject Terms: | Mathematics - Functional Analysis; Mathematics - Spectral Theory; 46S20; 34L10 |
| Description: | Let $u=\int_{-\infty}^{+\infty}\lambda dE_{\lambda}$ be a self-adjoint operator in a Hilbert space $H$. Our purpose is to provide a non-standard description of the spectral family $(E_{\lambda})$ and the generalized Gelfand eigenvectors.; Comment: 12 pages |
| Document Type: | Working Paper |
| Access URL: | http://arxiv.org/abs/math/0611277 |
| Accession Number: | edsarx.math/0611277 |
| Database: | arXiv |