On the singular continuous spectrum of self-adjoint extensions

Mathematische Zeitschrift

Volumn 222, Issue 4, 1996, Pages 533-542

  Brasche, Johannes ^a   Neidhardt, Hagen ^b  

^a BIELEFELD UNIVERSITY   (Germany)

^b UNIVERSITY OF POTSDAM   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030509139     PISSN: 00255874     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02621882     Document Type: Article

References (10)

1. Brasche, J.F., Neidhardt, H.: Some remarks on Krein's extension theory. Math. Nachrichten 165, 159-181 (1994)
2. Brasche, J.F., Neidhardt, H.: On the absolutely continuous spectrum of self-adjoint extensions. J. Funct. Analysis 131, No. 2, 364-385 (1995)
3. Brasche, J.F., Neidhardt, H., Weidmann, J.: On the point spectrum of self-adjoint extensions. Math. Zeitschrift 214, 343-355 (1993)
4. Brasche, J.F., Neidhardt, H., Weidmann, J.: On the spectra of self-adjoint extensions. Operator Theory, Advances and Applications 61, 29-45. Birkhäuser, Boston-Basel-Stuttgart 1993
5. Derkach, V.A., Malamud, M.M.: Generalized resolvents and the boundary value problems for Hermitean operators with gap. J. Funct. Analysis 95, 1-95 (1991)
6. del Rio, R., Makarov, N., Simon, B.: Operators with singular continuous spectrum II. Rank one operators. Comm. Math. Phys. 165, 59-67 (1994)
7. Friedrichs, K.: Spektraltheorie halbbeschränkter Operatoren und Anwendung auf die Spektralzerlegung von Differentialoperatoren. Math. Ann. 109, 465-487 (1934)
8. Gordon, A.: Pure point spectrum under 1-parameter perturbations and instability of Anderson localization. Comm. Math. Phys. 164, 489-505 (1994)
9. Krein, M.G.: Theory of self-adjoint extensions of semi-bounded Hermitan operators and its application. I. Mat. Sbornik 20 (1947), No. 3, 431-490 (in Russian)
10. Malamud, M.M.: On certain classes of extensions of a Hermitean operator with gaps. Ukrainian Math. Journ. 44, 215-233 (1992)