A perturbation theorem for positive eigenvalues of condensing set-valued mappings in locally convex spaces

Siegfried Hahn

Commentationes Mathematicae Universitatis Carolinae (1979)

  • Volume: 020, Issue: 3, page 417-430
  • ISSN: 0010-2628

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Hahn, Siegfried. "Ein Störungssatz für positive Eigenwerte kondensierender mengenwertiger Abbildungen in lokalkonvexen topologischen Vektorräumen." Commentationes Mathematicae Universitatis Carolinae 020.3 (1979): 417-430. <http://eudml.org/doc/16982>.

@article{Hahn1979,
author = {Hahn, Siegfried},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {eigenvalue; perturbation theory; condensing map; multivalued map; approximation; essential map; homotopy extension property},
language = {ger},
number = {3},
pages = {417-430},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Ein Störungssatz für positive Eigenwerte kondensierender mengenwertiger Abbildungen in lokalkonvexen topologischen Vektorräumen},
url = {http://eudml.org/doc/16982},
volume = {020},
year = {1979},
}

TY - JOUR
AU - Hahn, Siegfried
TI - Ein Störungssatz für positive Eigenwerte kondensierender mengenwertiger Abbildungen in lokalkonvexen topologischen Vektorräumen
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1979
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 020
IS - 3
SP - 417
EP - 430
LA - ger
KW - eigenvalue; perturbation theory; condensing map; multivalued map; approximation; essential map; homotopy extension property
UR - http://eudml.org/doc/16982
ER -

References

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  1. DANEŠ J., On densifying and related mappings and their application in nonlinear functional analysis, In: Theory of nonlinear operators. Proceedings of a summer school 1972 Neuendorf, GDR, 15-56 (1974). (1972) MR0361946
  2. HAHN S., Über die Stabilität von Lösungen nichtlinearer Operatorengleichungen in nicht notwendig lokalkonvexen topologischen Vektorräumen, Comment. Math. Univ. Carolinae 17 (1976), 421-440. (1976) Zbl0347.47033MR0423144
  3. HAHN S., Ein Homotopieerweiterungssatz für kompakte Vektorfelder in topologischen Vektorräumen, Comment. Math. Univ. Carolinae 17 (1976), 807-811. (1976) Zbl0342.47037MR0433278
  4. HAHN S., Gebietsinvarianzsatz und Eigenwertaussagen für konzentrierende Abbildungen, Comment. Math. Univ. Carolinae 18 (1977), 697-713. (1977) Zbl0375.47029MR0474385
  5. HAHN S., Zur Theorie nichtlinearer Operatorengleichungen in topologischen Vektorräumen, B - Dissertation TU Dresden 1978. (1978) 
  6. HAHN S., Zur Theorie kompakter Vektorfelder in topologischen VektorrSumen, Math. Nachr. (1979). (1979) MR0517655
  7. HALE J. K., Continuous dependence of fixed points of condensing maps, Jour. Math. Anal. and Appl. 46 (1974), 338-349. (1974) Zbl0279.47018MR0353073
  8. KAKUTANI S., A generalisation of Brouwer's fixed point theorem, Duke Math. J. 8 (1941), 457-459. (1941) MR0004776
  9. KLEE V., Shrinkable neighborhoods in Hausdorff linear spaces, Math. Ann. 141 (1960), 281-285. (1960) Zbl0096.07902MR0131149
  10. KRASNOSELSKI M. A. P. P. ZABREIKO, Geometrische Methoden der nichtlinearen Analysis, (russ.), Moskau 1975. (1975) 
  11. RIEDRICH T., Vorlesungen über nicht lineare Operatorengleichungen, Teubner-Texte, Teubner-Verlag Leipzig 1976. (1976) MR0467414
  12. SADOWSKI B. N., Uber Nichtkompaktheitsmasse und verdichtende Operatoren, (russ.), Probl. matem. analiza složn. sistem 2 (1968), 89-119. (1968) 

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