Abstract
The paper deals with linear operators in a separable Hubert space represented by infinite matrices with compact off diagonal parts. Bounds for the spectrum are established. In particular, new estimates for the spectral radius are proposed. These results are new even in the finite-dimensional case. Also applications to integral, differential and integro-differential operators are discussed.
Original language | English |
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Pages (from-to) | 379-394 |
Number of pages | 16 |
Journal | Mathematical Physics Analysis and Geometry |
Volume | 4 |
Issue number | 4 |
DOIs | |
State | Published - 1 Jan 2001 |
Keywords
- Differential and integro-differential operators
- Finite and infinite matrices
- Integral
- Spectrum localization
ASJC Scopus subject areas
- Mathematical Physics
- Geometry and Topology