The description of Dirac operator spectra
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 1 (1987), pp. 18-26
Citer cet article
Voir la notice de l'article provenant de la source Math-Net.Ru
In the present paper the investigations of the parer [1] on one-dimensional Dirac system are generalized for the infinite-dimensional case. The description of spectra of selfadjoint extensions $D_k$ of the operator $D_0$ is given depending on the properties of boundary projectors $P_k$ which determine such extensions.
[1] E. I. Titchmarsh, “Some Eigenfunction Expansion Formulae”, Proc. London Math. Soc., 11:41 (1961) | MR
[2] F. E. Melik-Adamyan, “O kanonicheskikh differentsialnykh operatorakh v gilbertovom prostranstve”, Izv. AN Arm. SSR, 12:6 (1977) | Zbl
[3] N. Danford, Dzh. T. Shvarts, Lineinye operatory, v. 2, Mir, M., 1966
[4] M. Sh. Birman, M. 3. Solomyak, Spektralnaya teoriya samosopryazhennykh operatorov v gilbertovom prostranstve, Izd-vo LGU, L., 1980