Relative boundedness conditions and the perturbation of nonlinear operators

H. M. Riedl; Glenn F. Webb

Czechoslovak Mathematical Journal (1974)

  • Volume: 24, Issue: 4, page 584-597
  • ISSN: 0011-4642

How to cite

top

Riedl, H. M., and Webb, Glenn F.. "Relative boundedness conditions and the perturbation of nonlinear operators." Czechoslovak Mathematical Journal 24.4 (1974): 584-597. <http://eudml.org/doc/12825>.

@article{Riedl1974,
author = {Riedl, H. M., Webb, Glenn F.},
journal = {Czechoslovak Mathematical Journal},
language = {eng},
number = {4},
pages = {584-597},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Relative boundedness conditions and the perturbation of nonlinear operators},
url = {http://eudml.org/doc/12825},
volume = {24},
year = {1974},
}

TY - JOUR
AU - Riedl, H. M.
AU - Webb, Glenn F.
TI - Relative boundedness conditions and the perturbation of nonlinear operators
JO - Czechoslovak Mathematical Journal
PY - 1974
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 24
IS - 4
SP - 584
EP - 597
LA - eng
UR - http://eudml.org/doc/12825
ER -

References

top
  1. H. Brezis M. Crandall, A. Pazy, 10.1002/cpa.3160230107, Comm. Pure Appl. Math. 23 (1970), 123 - 144. (1970) MR0257805DOI10.1002/cpa.3160230107
  2. S. Burýšek, On spectra of nonlinear operators, Comment. Math. Univ. Carolinae II (1970), 727-743. (1970) MR0288639
  3. B. Calvert, K. Gustafson, 10.1016/0022-1236(72)90046-8, J. Functional Analysis 10 (1972), 149-158. (1972) Zbl0236.47048MR0341200DOI10.1016/0022-1236(72)90046-8
  4. M. Crandall, T. Liggett, 10.2307/2373376, Amer. J. Math. 93 (1971), 265 - 298. (1971) Zbl0226.47038MR0287357DOI10.2307/2373376
  5. M. Crandall, A. Pazy, 10.1016/0022-1236(69)90032-9, J. Functional Analysis 3 (1969), 376-418. (1969) MR0243383DOI10.1016/0022-1236(69)90032-9
  6. J. Dieudonné, Foundations of Modern Analysis, Academic Press, New York and London, 1969. (1969) MR0349288
  7. E. Hille, R. Phillips, Functional Analysis and Semi-groups, rev. ed., Amer. Math. Soc. Coll. Pub., Vol. XXXI, 1957. (1957) MR0089373
  8. R. Kačurovskii, The regular points, spectrum, and eigenfunctions of nonlinear operators, Soviet Math. Doki. 10 (1969), 1101-1104. (1969) 
  9. T. Kato, Perturbation Theory for Linear Operators, Springer-Verlag, New York, 1966. (1966) Zbl0148.12601MR0203473
  10. T. Kato, Accretive operators and nonlinear evolution equations in Banach spaces, Proc. Symp. Pure Appl. Math. 18, Part I, Amer. Math. Soc., Providence, Rhode Island, 1968, 138-161. (1968) MR0271782
  11. M. Krasnoselskii, Topological Methods in the Theory of Nonlinear Integral Equations, Macmillan, New York, 1964. (1964) MR0159197
  12. R. Martin, [unknown], unpublished lecture notes. 
  13. L. May, Localizing the spectrum, Рас. Jour. Math. 44 (1973), 211 - 218. (1973) Zbl0255.47070MR0315540
  14. M. Nashed, Differentiability and related properties of nonlinear operators: some aspects of the role of differentials in nonlinear functional analysis, Nonlinear Functional Analysis and Applications, Publ. No. 26, Math. Res. Center, The University of Wisconsin, Academic Press, New York and London, 1971. (1971) MR0276840
  15. J. Neuberger, Existence of a spectrum for nonlinear transformations, Рас. J. Math. 31 (1969), 157-159. (1969) Zbl0182.47203MR0259696
  16. T. Saaty, Modern Nonlinear Equations, Mc Graw-Hill, New York, 1967. (1967) Zbl0148.28202MR0218160
  17. K. Yosida, Functional Analysis, Springer-Verlag, New York, 2nd Edition, 1968. (1968) MR0239384
  18. E. Zarantonello, 10.1090/S0002-9904-1964-11237-4, Bull. Amer. Math. Soc. 70 (1964), 781-787. (1964) Zbl0137.32501MR0173176DOI10.1090/S0002-9904-1964-11237-4
  19. E. Zarantonello, The closure of the numerical range contains the spectrum, Рас. J. Math. 22 (1967), 575-595. (1967) Zbl0152.34602MR0229079

NotesEmbed ?

top

You must be logged in to post comments.