| Title:
|
On convexity and smoothness of Banach space (English) |
| Author:
|
Banaś, Józef |
| Author:
|
Hajnosz, Andrzej |
| Author:
|
Wędrychowicz, Stanisław |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
31 |
| Issue:
|
3 |
| Year:
|
1990 |
| Pages:
|
445-452 |
| . |
| Category:
|
math |
| . |
| MSC:
|
46B07 |
| MSC:
|
46B10 |
| MSC:
|
46B20 |
| idZBL:
|
Zbl 0723.46010 |
| idMR:
|
MR1078479 |
| . |
| Date available:
|
2008-06-05T21:44:51Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106880 |
| . |
| Reference:
|
[1] Alonso J., Ullan A.: Moduli of convexity.Functional Analysis and Approximation, Edited by P. L. Papini, Bagni di Lucca, Italy, May 16-20, 1988, 25-33. MR 1001569 |
| Reference:
|
[2] Banas J.: On moduli of smoothness of Banach spaces.Bull. Pol. Acad. Sci. Math. 34 (1986), 287-293. Zbl 0606.46010, MR 0874871 |
| Reference:
|
[3] Berg I. D., Sims B.: Denseness of operators which attain their numerical radius.Ser. A, J. Austral. Math. Soc. 36 (1984), 130-133. Zbl 0561.47004, MR 0720006 |
| Reference:
|
[4] Clarkson J. A.: Uniformly convex spaces.Trans. Amer. Math. Soc. 40 (1936), 396-414. Zbl 0015.35604, MR 1501880 |
| Reference:
|
[5] Day M. M.: Uniform convexity in factor and conjugate spaces.Ann. of Math. 45 (1944), 375-385. Zbl 0063.01058, MR 0010779 |
| Reference:
|
[6] Day M. M.: Normed linear spaces.Ergebnisse Mathematik und ihrer Grenzgebiete, 3rd Ed., Vol. 21, Springer Verlag, 1973. Zbl 0268.46013, MR 0344849 |
| Reference:
|
[7] Diestel J.: Geometry of Banach spaces.Selected topics, Lecture Notes, Springer Verlag, 1975. Zbl 0307.46009, MR 0461094 |
| Reference:
|
[8] Van Dulst D.: Reflexive and superreflexive Banach spaces.Math. Centre Tracts 102, Amsterdam, 1978. Zbl 0412.46006, MR 0513590 |
| Reference:
|
[9] Goebel K., Kirk W. A.: Topics in metric fixed point theory.Cambridge University Press, to appear. Zbl 0708.47031, MR 1074005 |
| Reference:
|
[10] Köthe G.: Topological vector spaces I.Springer Verlag, 1969. MR 0248498 |
| Reference:
|
[11] Lindenstrauss J.: On the modulus of smoothness and divergent series in Banach spaces.Mich. Math. J. 10 (1963), 241-252. Zbl 0115.10001, MR 0169061 |
| Reference:
|
[12] Lindenstrauss J.,Tzafriri L.: Classical Banach space.Lecture Notes, Springer Verlag, 1973. MR 0415253 |
| Reference:
|
[13] Milman V. D.: The geometric theory of Banach spaces, Part II.in Russian, Uspehi Mat. Nauk 26 (1971), 73-149. MR 0420226 |
| Reference:
|
[14] Nordlander G.: The modulus of convexity in normed linear spaces.Ark. Math. 4 (1960), 15-17. Zbl 0092.11402, MR 0140915 |
| Reference:
|
[15] Opial Z.: Lecture notes on nonexpansive and monotone mappings in Banach spaces.Lecture Notes, Center for Dynamical Systems, Brown University, 1967. |
| . |
