An eigenvalue multiplicity formula for the Schur complement of a 3 x 3 block operator matrix
We consider the Schur complement S(λ) with real spectral parameter λ corresponding to a certain 3 × 3 block operator matrix. In our case the essential spectrum of S(λ) can have gaps. We obtain formulas for the number and multiplicities of eigenvalues belonging to an arbitrary interval outside the es...
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| Format: | Article |
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2015
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| _version_ | 1796860371600932864 |
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| author | Muminov, M. E. Rasulov, T. Kh. |
| author_facet | Muminov, M. E. Rasulov, T. Kh. |
| author_sort | Muminov, M. E. |
| collection | ePrints |
| description | We consider the Schur complement S(λ) with real spectral parameter λ corresponding to a certain 3 × 3 block operator matrix. In our case the essential spectrum of S(λ) can have gaps. We obtain formulas for the number and multiplicities of eigenvalues belonging to an arbitrary interval outside the essential spectrum of S(λ). |
| first_indexed | 2024-03-05T19:40:22Z |
| format | Article |
| id | utm.eprints-57750 |
| institution | Universiti Teknologi Malaysia - ePrints |
| last_indexed | 2024-03-05T19:40:22Z |
| publishDate | 2015 |
| record_format | dspace |
| spelling | utm.eprints-577502021-11-07T06:20:43Z http://eprints.utm.my/57750/ An eigenvalue multiplicity formula for the Schur complement of a 3 x 3 block operator matrix Muminov, M. E. Rasulov, T. Kh. T Technology (General) We consider the Schur complement S(λ) with real spectral parameter λ corresponding to a certain 3 × 3 block operator matrix. In our case the essential spectrum of S(λ) can have gaps. We obtain formulas for the number and multiplicities of eigenvalues belonging to an arbitrary interval outside the essential spectrum of S(λ). 2015 Article PeerReviewed Muminov, M. E. and Rasulov, T. Kh. (2015) An eigenvalue multiplicity formula for the Schur complement of a 3 x 3 block operator matrix. Siberian Mathematical Journal, 56 (4). pp. 699-713. ISSN 0369-8203 http://dx.doi.org/10.1134/S0037446615040126 DOI: 10.1134/S0037446615040126 |
| spellingShingle | T Technology (General) Muminov, M. E. Rasulov, T. Kh. An eigenvalue multiplicity formula for the Schur complement of a 3 x 3 block operator matrix |
| title | An eigenvalue multiplicity formula for the Schur complement of a 3 x 3 block operator matrix |
| title_full | An eigenvalue multiplicity formula for the Schur complement of a 3 x 3 block operator matrix |
| title_fullStr | An eigenvalue multiplicity formula for the Schur complement of a 3 x 3 block operator matrix |
| title_full_unstemmed | An eigenvalue multiplicity formula for the Schur complement of a 3 x 3 block operator matrix |
| title_short | An eigenvalue multiplicity formula for the Schur complement of a 3 x 3 block operator matrix |
| title_sort | eigenvalue multiplicity formula for the schur complement of a 3 x 3 block operator matrix |
| topic | T Technology (General) |
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