Let S be a surface in R n which divides the space into two connected components D 1 and D 2 . Let f β C 0 (R n ) be some real-valued compactly supported function with supp f β D 1 . Consider where Ξ΄ is the delta-function, y β S and r > 0 are arbitrary. A general, local at infinity, condition on S i
The spherical gap of operators
β Scribed by Ritsuo Nakamoto
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 283 KB
- Volume
- 251
- Category
- Article
- ISSN
- 0024-3795
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π SIMILAR VOLUMES
This paper is devoted to a general min-max characterization of the eigenvalues in a gap of the essential spectrum of a self-adjoint unbounded operator. We prove an abstract theorem, then we apply it to the case of Dirac operators with a Coulomb-like potential. The result is optimal for the Coulomb p
It is widely recognized that the computation of gap metric is equivalent to a certain two-block H β problem, i.e., the gap is equal to the norm of a certain two-block operator. However, it can also be characterized as the smallest singular value of a certain Toeplitz operator. This paper derives a s