Abstract
We consider the operator A=S+B, where S is an unbounded normal operator in a separable Hilbert space H, having a compact inverse one and B is a linear operator in H, such that BS-1 is compact. Let (Formula presented.) be the normalized eigenvectors of S and B be represented in (Formula presented.) by a matrix (Formula presented.) We approximate the eigenvalues of A by a combination of the eigenvalues of S and the eigenvalues of the finite matrix (Formula presented.) Applications of to differential operators are also discussed.
| Original language | English |
|---|---|
| Pages (from-to) | 37-44 |
| Number of pages | 8 |
| Journal | Analysis and Mathematical Physics |
| Volume | 3 |
| Issue number | 1 |
| DOIs | |
| State | Published - 25 Mar 2013 |
Keywords
- Approximation
- Differential operators
- Eigenvalues
- Hilbert space
- Linear operators
ASJC Scopus subject areas
- Analysis
- Algebra and Number Theory
- Mathematical Physics
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