| Title:
|
On the existence of Schauder bases in Sobolev spaces (English) |
| Author:
|
Fučík, Svatopluk |
| Author:
|
John, Oldřich |
| Author:
|
Nečas, Jindřich |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
13 |
| Issue:
|
1 |
| Year:
|
1972 |
| Pages:
|
163-175 |
| . |
| Category:
|
math |
| . |
| MSC:
|
35D10 |
| MSC:
|
46B15 |
| MSC:
|
46E35 |
| MSC:
|
46M35 |
| idZBL:
|
Zbl 0231.46064 |
| idMR:
|
MR0306890 |
| . |
| Date available:
|
2008-06-05T20:37:56Z |
| Last updated:
|
2012-04-27 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/105403 |
| . |
| Reference:
|
[1] N. DUNFORD J. T. SCHWARTZ: Linear operators I.(Russian translation, Moscow 1962). MR 0216303 |
| Reference:
|
[2] D. G. de FIGUEIREDO: Topics in nonlinear functional analysis.Lecture Series No. 48, University of Maryland 1967. |
| Reference:
|
[3] S. FUČÍK: Fredholm alternative for nonlinear operator in Banach spaces and its applications to the differential and integral equations.Čas. pro pěst. mat. 96 (1971), 371-390. MR 0326502 |
| Reference:
|
[4] S. FUČÍK J. MILOTA: On the convergence of sequences of linear operators and adjoint operators.Comment. Math. Univ. Carolinae 12 (1971), 753-763. MR 0290130 |
| Reference:
|
[5] S. FUČÍK J. NEČAS: Ljusternik-Schnirelmann theorem and nonlinear eigenvalue problems.Math. Nachr. (to appear). MR 0333863 |
| Reference:
|
[6] W. B. JOHNSON H. P. ROSENTHAL M. ZIPPIN: On bases, finite dimensional decompositions and weaker structures in Banach spaces.Israel Journ. Math. (to appear). MR 0280983 |
| Reference:
|
[7] M. A. KRASNOSELSKIJ J. B. RUTICKIJ: Vypuklyje funkcii i prostranstva Orliča.Moskva 1958. |
| Reference:
|
[8] J. LINDENSTRAUSS A. PELCZYNSKI: Absolutely summing operators in $L\sb{p}$ spaces and their applications.Studia Math. 29 (1968), 275-326. MR 0231188 |
| Reference:
|
[9] J. LINDENSTRAUSS H. P. ROSENTHAL: The ${\cal L}\sb{p}$ spaces.Israel Journ. Matht 7 (1969), 325-343. MR 0270119 |
| Reference:
|
[10] J. L. LIONS E. MAGENES: Problemi al limiti non omogenei (V).Ann. Scuola Norm. Sup. Pisa XVI (1962), 1-44. MR 0146527 |
| Reference:
|
[11] E. A. MICHAEL A. PELCZYNSKI: Separable Banach spaces which admit $l\sb{n}{}\sp{\infty }$ approximations.Israel Journ. Math. 4 (1966), 189-198. MR 0211247 |
| Reference:
|
[12] J. NEČAS: Les méthodes directes en théorie des équations élliptiques.Academia, Prague, 1967. MR 0227584 |
| Reference:
|
[13] S. M. NIKOLSKIJ: Približennyje funkcii mnogich peremennych i teoremy vloženija.Moskva 1969. |
| Reference:
|
[14] Ch. G. SIMADER: Eine Verallgemeinerung der Gardingschen Ungleichung und eine darauf aufbauende - Theorie des Dirichletschen Randwertproblems.Inaugural-Dissertation, Ludwig-Maxmilians Universität München, September 1968. |
| Reference:
|
[15] M. SCHECHTER: On $L^p$ estimates and regularity, I..Amer. Journ. Math. LXXXV (1963), 1-13. Zbl 0131.09505, MR 0188615 |
| . |
