| Title:
|
On a certain class of $\Lambda$-structures. I (English) |
| Author:
|
Tomášek, Stanislav |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
20 |
| Issue:
|
1 |
| Year:
|
1970 |
| Pages:
|
1-18 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| MSC:
|
46.01 |
| MSC:
|
54.00 |
| idZBL:
|
Zbl 0193.51202 |
| idMR:
|
MR0268642 |
| DOI:
|
10.21136/CMJ.1970.100940 |
| . |
| Date available:
|
2008-06-09T13:44:49Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/100940 |
| . |
| Reference:
|
[1] M. Atsuji: Projective Limits and Metric Spaces with $u$-Extension Properties.Proc. Japan Acad. 38, 1962, 304-306. Zbl 0109.40805, MR 0142100 |
| Reference:
|
[2] N. Bourbaki: Topologie Générale, Chap. I-X.Hermann, Paris, 1940-1949. MR 0004747 |
| Reference:
|
[3] N. Bourbaki: Espaces vectoriels topologiques. Chap. I-V.Hermann, Paris, 1953-1955. |
| Reference:
|
[4] N. Bourbaki: Intégration, Chap. I-IV.Hermann, Paris, 1952. |
| Reference:
|
[5] H. H. Corson J. R. Isbell: Some properties of strong uniformities.Quart. J. Math. 11, 1960, 17-33. MR 0124030, 10.1093/qmath/11.1.17 |
| Reference:
|
[6] E. Čech: Topological spaces.(in Czech), Prague, 1959. MR 0104205 |
| Reference:
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[7] E. Čech: Topological spaces.Prague, 1966. MR 0211373 |
| Reference:
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[8] M. M. Day: Normed linear spaces.Springer, Berlin-Göttingen-Heidelberg, 1958. Zbl 0082.10603, MR 0094675 |
| Reference:
|
[9] V. P. Fiodorova: A dual characterization of the completion and completeness of a uniform space.(in Russian), Мат. сб. 64, 1964, 631 - 639. MR 0170322 |
| Reference:
|
[10] I. Glicksberg: The representation of functional by integrals.Duke Math. J., 1952, 253 - 261. MR 0050168, 10.1215/S0012-7094-52-01926-1 |
| Reference:
|
[11] A. Grothendieck: Sur la complétion du dual d'un espace vectoriel localement convexe.С. R. Acad. Sci., Paris, 230, 1950, 605-606. Zbl 0034.37401, MR 0040573 |
| Reference:
|
[12] A. Grothendieck: Sur les applications linéaires faiblement compactes d'espaces du type $C(K)$.Canad. J. Math. 5, 1953, 129-173. Zbl 0050.10902, MR 0058866, 10.4153/CJM-1953-017-4 |
| Reference:
|
[13] J. Hejcman: The boundedness in uniform spaces and topological groups.Czech. Math. J. 84, 1959, 544-563. MR 0141075 |
| Reference:
|
[14] J. R. Isbell: Algebras of uniformly continuous functions.Ann. of Math. 68, 1958, 96-125. Zbl 0081.11101, MR 0103407, 10.2307/1970045 |
| Reference:
|
[15] T. Ishiwata: On uniform spaces.(in Japanese), Sugaku Kenkyuroku, 1953. |
| Reference:
|
[16] S. Kakutani: Concrete representation of Abstract (M)-spaces.Ann. of Math. 42, 1941, 994-1024. Zbl 0060.26604, MR 0005778, 10.2307/1968778 |
| Reference:
|
[17] M. Katětov: On a category of spaces.General Topology and its Relations to Modern Analysis and Algebra. Proc. Symp. Prague, 1961, 226-229. MR 0187190 |
| Reference:
|
[18] M. Katětov: Allgemeine Stetigkeitsstrukturen.Proc. International Congress of Math., 1962, 473-479. MR 0176431 |
| Reference:
|
[19] M. Katětov: Projectively generated continuity structures: A correction.CMUC, 6, 1965, 251-255. MR 0219027 |
| Reference:
|
[20] M. Katětov: On certain projectively generated continuity structures.Celebrazioni archimedee del secolo XX, simposio di topologia, 1964, 47-50. |
| Reference:
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[21] M. Katětov: On Real-Valued Functions in Topological Spaces.F. M. XXXVIII, 1951, 85-91. MR 0050264 |
| Reference:
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[22] G. Köthe: Topologische lineare Räume I..Berlin, 1960. MR 0130551 |
| Reference:
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[23] M. A. Naimark: Normed algebras.(in Russian), Moscow, 1956. |
| Reference:
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[24] V. Pták: An extension theorem for separately continuous functions and its application to functional analysis.Czech. Math. J. 89, 1964, 562-581. MR 0172108 |
| Reference:
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[25] V. Pták: Weak compactness in convex topological linear spaces.Czech. Math. J. 4, 1954, 175-186. MR 0066550 |
| Reference:
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[26] D. A. Raikov: Free locally convex spaces of uniform spaces.(in Russian), Мат. сб. 63, 1964, 582-590. MR 0162120 |
| Reference:
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[27] S. Tomášek: $\Lambda$-structures and their application.(in Czech), Thesis, 1966. |
| Reference:
|
[28] S. Tomášek: Über eine Klasse lokalkonvexer Räume.General Topology and its Relations to Modern Analysis and Algebra II, Proc. Symp. Prague 1966, 353-355. |
| . |
