| Title:
|
Some notes on various rotundity and smoothness properties of separable Banach spaces (English) |
| Author:
|
Zizler, Václav E. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
10 |
| Issue:
|
2 |
| Year:
|
1969 |
| Pages:
|
195-206 |
| . |
| Category:
|
math |
| . |
| MSC:
|
46-10 |
| MSC:
|
46Bxx |
| idZBL:
|
Zbl 0177.40702 |
| idMR:
|
MR0246095 |
| . |
| Date available:
|
2008-06-05T20:30:10Z |
| Last updated:
|
2012-04-27 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/105227 |
| . |
| Reference:
|
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| Reference:
|
[2] S. BANACH: Théorie des opérations linéaires.Warsaw, 1932. Zbl 0005.20901 |
| Reference:
|
[3] M. S. BRODSKIJ D. P. MILMAN: O centre vypuklogo množestva.Dokl. Ak. Nauk SSSR 59 (1948), 837-840. MR 0024073 |
| Reference:
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[4] A. BRØNDSTED: Conjugate convex functions in topological vector spaces.Mat. - Fys. Medd. Dansk. Vid. Selsk. 34 (1964), 2. MR 0166580 |
| Reference:
|
[5] D. F. CUDIA: Rotundity.Proceedings of Symp. in Pure Math., VII, 1963, 73-97. Zbl 0141.11901, MR 0155166 |
| Reference:
|
[6] D. F. CUDIA: The geometry of Banach spaces. Smoothness.Trans. of the Am. Math. Soc. 110 (1964), 284-314. Zbl 0123.30701, MR 0163143 |
| Reference:
|
[7] M. M. DAY: Reflexive Banach spaces not isomorphic to uniformly convex spaces.Bull. Am. Math. Soc. 47 (1941), 313-317. Zbl 0024.41401, MR 0003446 |
| Reference:
|
[8] M. M. DAY: Strict convexity and smoothness of normed spaces.Trans. of Am. Math. Soc. 78 (1955), 516-528. Zbl 0068.09101, MR 0067351 |
| Reference:
|
[9] M. M. DAY: Normed linear spaces.Ergeb. Math. Gr. (N. F.) no. 21, Springer, Berlin 1958, Russian translation, Moscow 1961. Zbl 0082.10603, MR 0094675 |
| Reference:
|
[10] M. I. KADEC: O prostranstvech izomorfnych lokalno ravnomerno vypuklym prostranstvam.Izv. vysš. uč. zav. Matem. 1 (8) (1959), No. 6, 51-57 and 1 (20) (1961), 6, 186-187. MR 0126692 |
| Reference:
|
[11] M. I. KADEC: Uslovija differencirujemosti normy Banachova prostranstva.Uspechi Matem. nauk T XX, 3, 123, 183-187. |
| Reference:
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[12] M. I. KADEC: Oslaboj i silnoj schodimosti.Dokl. Ak. Nauk SSSR 122 (1958), 13-16. |
| Reference:
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[13] V. L. KLEE: Mappings into normed linear spaces.Fundamenta Math. XLIX (1960), 25-34. Zbl 0117.08303, MR 0126690 |
| Reference:
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[14] V. L. KLEE: Convex bodies and periodic homeomorphisms in Hilbert space.Trans. Am. Math. Soc. 74 (1953), 10-43. Zbl 0050.33202, MR 0054850 |
| Reference:
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[15] V. L. KLEE: Some new results on smoothness and rotundity in normed linear spaces.Math. Ann. 139 (1959), 51-63. Zbl 0092.11602, MR 0115076 |
| Reference:
|
[16] A. R. LOVAGLIA: Locally uniformly convex Banach spaces.Trans. of Am. Math. Soc. 78 (1955), 225-238. Zbl 0064.35601, MR 0066558 |
| Reference:
|
[17] G. RESTREPO: Differentiable norms in Banach spaces.Bull. Am. Math. Soc. 70 (1964), 413-414. MR 0161129 |
| Reference:
|
[18] V. L. ŠMULJAN: On some geometrical properties of the unit sphere in the space of the type (B).Mat. Sb. (N. S.) 6 (48) (1939), 77-94. MR 0001458 |
| Reference:
|
[19] V. L. ŠMULJAN: Sur la dérivabilité de la norme dans l'espace de Banach.Dokl. Ak. Nauk SSSR (N. S.) 27 (1940), 643-648. MR 0002704 |
| Reference:
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[20] V. L. ŠMULJAN: O nekotorych geometričeskich svojstvach sfery v prostranstvach tipa B.Dokl. Ak. Nauk SSSR 24 (1939), 647-651. |
| Reference:
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[21] V. L. ŠMULJAN: Sur la strucrture de la sphère unitaire dans l'espace de Banach.Mat. Sb. 9 (1941), 545-572. |
| Reference:
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[22] R. VÝBORNÝ: O slabé konvergenci v prostorech lokálně stejnoměrně konvexních.Časopis pro pěstování matem. (ČSSR) 81 (1956), 352-353. |
| Reference:
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[23] V. ZIZLER: Banach spaces with the differentiable norms.Comment. Math. Univ. Carolinae 9, 3 (1968), 415-440. Zbl 0182.45105, MR 0246121 |
| Reference:
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[24] V. ZIZLER: One theorem on rotundity and smoothness of separable Banach spaces.Comment. Math. Univ. Carolinae 9, 4 (1968), 637-640. MR 0256139 |
| . |
