Spectraliy criteria for unbounded operators with real spectrum
β Scribed by Shmuel Kantorovitz
- Publisher
- Springer
- Year
- 1981
- Tongue
- English
- Weight
- 396 KB
- Volume
- 256
- Category
- Article
- ISSN
- 0025-5831
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π SIMILAR VOLUMES
consider the delay difference equation G&+1 -%I + Pnr,(,) = 0, 72 = 0, 1,2, . , where T : N + Z is nondecreasing, 7(n) < n for ra E N and iimn--roo 7(n) = co, {p,} is a nonnegative sequence. Some oscillation criteria for this equation are obtained.
We confirm rigorously the conjecture, based on numerical and asymptotic evidence, that all the eigenvalues of a certain non-self-adjoint operator are real.
We study second-order differential operators A with lower-order coefficients in some L q L . We prove the generation of positive, quasi-contractive C semiq Ο± 0 Ε½ . groups on L for all p g 1, Ο± . If the second-order coefficients are in some p L q L , we get upper pseudo-Gaussian bounds of the heat ke