| Title:
|
A characterization of the eigenvalues of a completely continuous selfadjoint operator (English) |
| Author:
|
Naumann, Joachim |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
13 |
| Issue:
|
1 |
| Year:
|
1972 |
| Pages:
|
63-78 |
| . |
| Category:
|
math |
| . |
| MSC:
|
47A05 |
| MSC:
|
47A75 |
| MSC:
|
47A99 |
| MSC:
|
47B05 |
| MSC:
|
49G05 |
| MSC:
|
58E05 |
| idZBL:
|
Zbl 0232.47027 |
| idMR:
|
MR0305207 |
| . |
| Date available:
|
2008-06-05T20:37:35Z |
| Last updated:
|
2012-04-27 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/105396 |
| . |
| Reference:
|
[1] ACHIESER N. I., GLASMANN I. M.: Theorie der linearen Operatoren in Hilbert-Raum.Akademie - Verlag Berlin, 1968. |
| Reference:
|
[2] BERGER M. S.: On von Kármán's equations and the buckling of a thin elastic plate, I. The clamped plate.Comm. Pure Appl. Math. 20 (1967), 687-719. Zbl 0162.56405, MR 0221808 |
| Reference:
|
[3] BROWDER F. E.: Variational methods for nonlinear elliptic eigenvalue problems.Bull. Amer. Math. Soc. 71 (1965), 176-183. Zbl 0135.15802, MR 0179459 |
| Reference:
|
[4] KRASNOSELSKIJ M. A.: Topological methods in the theory of nonlinear integral equations.(in Russian), Moscow, GITTL, 1956. |
| Reference:
|
[5] LAX P. D.: A procedure for obtaining upper bounds for the eigenvalues of a Hermitian symmetric operator.Studies in Math. Analysis, Polya Issue, Stanford Univ. Press. Stanford 1962, 199-201. Zbl 0118.11002, MR 0149294 |
| Reference:
|
[6] LJUSTERNIK L. A., SOBOLEV W. I.: Elemente deг Funktionalanalysis.Akademie - Verlag Berlin, 1968. |
| Reference:
|
[7] NAUMANN J.: Existenzsätze für nichtlineare Eigenwertprobleme.(to appear). Zbl 0256.49048, MR 0328710 |
| Reference:
|
[8] STENGER W.: On the variational principles for eigenvalues for a class of unbounded operators.J. Math. Mech. 17 (1968), 641-648. Zbl 0157.21302, MR 0227800 |
| Reference:
|
[9] VAJNBERG M. M.: Variational methods for the investigation of nonlinear operators.(in Russian), Moscow, GITTL, 1956. |
| . |
