| Title:
|
Compatible topologies and bornologies on modules (English) |
| Author:
|
Pombo, Dinamérico P., Jr. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
39 |
| Issue:
|
2 |
| Year:
|
1998 |
| Pages:
|
341-352 |
| . |
| Category:
|
math |
| . |
| Summary:
|
Compatible topologies and bornologies on modules are introduced and studied. (English) |
| Keyword:
|
module topologies |
| Keyword:
|
continuous linear mappings |
| Keyword:
|
module bornologies |
| Keyword:
|
bounded linear mappings |
| Keyword:
|
equicontinuous sets |
| Keyword:
|
equibounded sets |
| Keyword:
|
topological modules of linear mappings |
| MSC:
|
46A17 |
| MSC:
|
46A70 |
| MSC:
|
46H25 |
| idZBL:
|
Zbl 0937.46046 |
| idMR:
|
MR1651967 |
| . |
| Date available:
|
2009-01-08T18:40:59Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119011 |
| . |
| Reference:
|
[1] Barboza de Oliveira L.R.: Compatibilité entre bornologies linéaires et topologies linéaires.C.R. Acad. Sci. Paris 278 (1974), 1585-1586. MR 0355509 |
| Reference:
|
[2] Barboza de Oliveira L.R.: Les espaces vectoriels linéairement bornologisés et topologisés.C.R. Acad. Sci. Paris 278 (1974), 1627-1628. MR 0355510 |
| Reference:
|
[3] Bernardes N.C., Jr., Pombo D.P., Jr.: Bornological topological modules.Math. Japonica 40 (1994), 455-459. Zbl 0822.46060, MR 1305539 |
| Reference:
|
[4] Bourbaki N.: Algèbre.Chapter II, 3rd edition, Actualités Scientifiques et Industrielles 1236, Hermann, 1967. Zbl 1139.12001 |
| Reference:
|
[5] Bourbaki N.: Topologie Générale.Chapter II, 4th edition, Actualités Scientifiques et Industrielles 1142, Hermann, 1965. Zbl 1107.54001, MR 0244924 |
| Reference:
|
[6] Bourbaki N.: Topologie Générale.Chapter X, 2nd edition, Actualités Scientifiques et Industrielles 1084, Hermann, 1967. Zbl 1107.54001 |
| Reference:
|
[7] Bourbaki N.: Espaces Vectoriels Topologiques.Chapter III, Actualités Scientifiques et Industrielles 1229, Hermann, 1967. Zbl 1106.46003 |
| Reference:
|
[8] Grothendieck A., Dieudonné J.: Eléments de Géometrie Algébrique I.Grundlehren der mathematischen Wissenschaften 166, Springer-Verlag, 1971. |
| Reference:
|
[9] Hogbe-Nlend H.: Bornologies and Functional Analysis.Notas de Matemática 62, North-Holland Publishing Company, 1977. Zbl 0359.46004, MR 0500064 |
| Reference:
|
[10] Köthe G.: Topological Vector Spaces II.Grundlehren der mathematischen Wissenschaften 237, Springer-Verlag, 1979. MR 0551623 |
| Reference:
|
[11] Pombo D.P., Jr.: On the completion of certain topological modules.Math. Japonica 37 (1992), 333-336. Zbl 0761.46041, MR 1159032 |
| Reference:
|
[12] Pombo D.P., Jr.: On barrelled topological modules.Internat. J. Math. & Math. Sci. 19 (1996), 45-52. Zbl 0839.46044, MR 1361975 |
| Reference:
|
[13] Pombo D.P., Jr.: Module bornologies.Comment. Math. 36 (1996), 179-188. Zbl 0901.46003, MR 1427832 |
| Reference:
|
[14] Schaefer H.H.: Topological Vector Spaces.Graduate Texts in Mathematics 3, Springer-Verlag, 1971. Zbl 0983.46002, MR 0342978 |
| Reference:
|
[15] HASH(0xa5a1b60): Séminaire Banach, Lecture Notes in Mathematics 277, Springer-Verlag, 1972.. |
| Reference:
|
[16] Waelbroeck L.: Topological Vector Spaces and Algebras.Lecture Notes in Mathematics 230, Springer-Verlag, 1971. Zbl 0225.46001, MR 0467234 |
| Reference:
|
[17] Warner S.: Topological Fields.Notas de Matemática 126, North-Holland Publishing Company, 1989. Zbl 0683.12014, MR 1002951 |
| . |
