Locally definite operators in indefinite inner product spaces

Mathematische Annalen

Volumn 308, Issue 3, 1997, Pages 405-424

  Langer, H ^a   Markus, A ^b   Matsaev, V ^c  

^a VIENNA UNIVERSITY OF TECHNOLOGY   (Austria)

^b BEN GURION UNIVERSITY OF THE NEGEV   (Israel)

^c TEL AVIV UNIVERSITY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031476734     PISSN: 00255831     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002080050082     Document Type: Article

References (13)

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3. A. Dijksma, H. Langer, H.S.V. de Snoo: Unitary colligations in Krein spaces and their role in the extension theory of isometric and symmetric linear relations in Hilbert spaces. Lect. Notes Mathematics, vol. 1242, pp. 1-42. Berlin-Heidelberg: Springer 1987
4. I.C. Gohberg, M.G. Krein: The basic propositions on defect numbers, root numbers and indices of linear operators. AMS Transl. (2) 13 (1960), 185-265
5. I.C. Gohberg, M.G. Krein: Introduction to the Theory of Linear Non-Selfadjoint Operators in a Hilbert Space. AMS Translations of Mathematical Monographs, vol. 18, Providence, Rhode Island, 1969
6. I.C. Gohberg, N. Krupnik: Einführung in die Theorie der eindimensionalen singulären Integraloperatoren. Basel: Birkhäuser, 1970
7. P. Jonas: On a class of selfadjoint operators in Krein space and their compact perturbations. Integral Equations Operator Theory 11 (1988), 351-384
8. H. Langer: Spectral functions of definitizable operators in Krein spaces. Lect. Notes in Mathematics, vol. 948, pp. 1-46. Berlin, Heidelberg: Springer 1982
9. H. Langer: Spektralfunktionen einer Klasse J-selbstadjungierter Operatoren. Math. Nachr. 33, 1/2 (1967), 107-120
10. I. Lyubich, V.I. Matsaev: On operators with decomposable spectrum. Mat. Sbornik 56 (98), (1962), 433-468 (Russian). Engl. transl.: AMS Transl. (2) 47 (1965), 89-129
11. I. Lyubich, V.I. Matsaev: On operators with decomposable spectrum. Mat. Sbornik 56 (98), (1962), 433-468 (Russian). Engl. transl.: AMS Transl. (2) 47 (1965), 89-129
12. P. Lancaster, A.S. Markus, V.I. Matsaev: Definitizable operators and quasihyperbolic operator polynomials. J. Funct. Anal. 131 (1995), 1-28
13. A.S. Markus, Some criteria for the completeness of a system of root vectors of a linear operator in a Banach space. AMS Translations (2) 85 (1969), 51-91