Title:
|
The principle of uniform boundedness and the closed graph theorem (English) |
Author:
|
Pták, Vlastimil |
Language:
|
English |
Journal:
|
Czechoslovak Mathematical Journal |
ISSN:
|
0011-4642 (print) |
ISSN:
|
1572-9141 (online) |
Volume:
|
12 |
Issue:
|
4 |
Year:
|
1962 |
Pages:
|
523-528 |
Summary lang:
|
Russian |
. |
Category:
|
math |
. |
MSC:
|
46.01 |
MSC:
|
47.10 |
idZBL:
|
Zbl 0122.34903 |
idMR:
|
MR0146666 |
DOI:
|
10.21136/CMJ.1962.100536 |
. |
Date available:
|
2008-06-09T13:16:01Z |
Last updated:
|
2020-07-28 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/100536 |
. |
Reference:
|
[1] E. Hellinger О. Toeplitz: Grundlagen für eine Theorie der unendlichen Matrizen.Math. Ann. 69 (1910), 289-330. MR 1511591, 10.1007/BF01456325 |
Reference:
|
[2] S. Izumi G. Sunouchi: Abstract integrals and linear operators.Proc. Imp. Ac. Tokyo 19 (1943) 169-173. MR 0014585 |
Reference:
|
[3] V. Pták: On complete topological linear spaces.Czech. Math. J. 78 (1953), 301-364. MR 0064303 |
Reference:
|
[4] V. Pták: Completeness and the open mapping theorem.Bull. Soc. Math. de France 86 (1958), 41-74. MR 0105606, 10.24033/bsmf.1498 |
Reference:
|
[5] V. Pták: On the closed graph theorem.Czech. Math. J. 84 (1959), 523 - 527. MR 0115061 |
Reference:
|
[6] A. Robertson W. Robertson: On the closed graph theorem.Proc. Glasgow Math. Ass. 3 (1956) 9-12. MR 0084108 |
Reference:
|
[7] A. Robertson W. Robertson: Topological vector Spaces.Cambridge Tracts, 1962. |
Reference:
|
[8] A. E. Taylor: Extensions of a theorem of Hellinger and Toeplitz.Math. Zeitschrift 66 (1956), 53-57. Zbl 0072.13201, MR 0082078, 10.1007/BF01186594 |
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