A characterization of the eigenvalues of a completely continuous selfadjoint operator

Joachim Naumann

Commentationes Mathematicae Universitatis Carolinae (1972)

  • Volume: 013, Issue: 1, page 63-78
  • ISSN: 0010-2628

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Naumann, Joachim. "A characterization of the eigenvalues of a completely continuous selfadjoint operator." Commentationes Mathematicae Universitatis Carolinae 013.1 (1972): 63-78. <http://eudml.org/doc/16475>.

@article{Naumann1972,
author = {Naumann, Joachim},
journal = {Commentationes Mathematicae Universitatis Carolinae},
language = {eng},
number = {1},
pages = {63-78},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {A characterization of the eigenvalues of a completely continuous selfadjoint operator},
url = {http://eudml.org/doc/16475},
volume = {013},
year = {1972},
}

TY - JOUR
AU - Naumann, Joachim
TI - A characterization of the eigenvalues of a completely continuous selfadjoint operator
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1972
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 013
IS - 1
SP - 63
EP - 78
LA - eng
UR - http://eudml.org/doc/16475
ER -

References

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  1. ACHIESER N. I., GLASMANN I. M., Theorie der linearen Operatoren in Hilbert-Raum, Akademie - Verlag Berlin, 1968. (1968) 
  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. (1967) Zbl0162.56405MR0221808
  3. BROWDER F. E., Variational methods for nonlinear elliptic eigenvalue problems, Bull. Amer. Math. Soc. 71 (1965), 176-183. (1965) Zbl0135.15802MR0179459
  4. KRASNOSELSKIJ M. A., Topological methods in the theory of nonlinear integral equations, (in Russian), Moscow, GITTL, 1956. (1956) 
  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. (1962) Zbl0118.11002MR0149294
  6. LJUSTERNIK L. A., SOBOLEV W. I., Elemente deг Funktionalanalysis, Akademie - Verlag Berlin, 1968. (1968) 
  7. NAUMANN J., Existenzsätze für nichtlineare Eigenwertprobleme, (to appear). Zbl0256.49048MR0328710
  8. STENGER W., On the variational principles for eigenvalues for a class of unbounded operators, J. Math. Mech. 17 (1968), 641-648. (1968) Zbl0157.21302MR0227800
  9. VAJNBERG M. M., Variational methods for the investigation of nonlinear operators, (in Russian), Moscow, GITTL, 1956. (1956) 

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