| Title:
|
A uniform boundedness principle of Pták (English) |
| Author:
|
Swartz, Charles |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
34 |
| Issue:
|
1 |
| Year:
|
1993 |
| Pages:
|
149-151 |
| . |
| Category:
|
math |
| . |
| Summary:
|
The Antosik-Mikusinski Matrix Theorem is used to give an extension of a uniform boundedness principle due to V. Pták to certain metric linear spaces. An application to bilinear operators is given. (English) |
| Keyword:
|
uniform boundedness |
| Keyword:
|
linear operator |
| Keyword:
|
bilinear operator |
| MSC:
|
46A16 |
| MSC:
|
46A32 |
| MSC:
|
46A99 |
| MSC:
|
47A99 |
| idZBL:
|
Zbl 0799.46008 |
| idMR:
|
MR1240212 |
| . |
| Date available:
|
2009-01-08T18:01:52Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118564 |
| . |
| Reference:
|
[AS] Antosik P., Swartz C.: Matrix Methods in Analysis.Springer-Verlag, Heidelberg, 1985. Zbl 0564.46001, MR 0781343 |
| Reference:
|
[K] Klis C.: An example of noncomplete normed $K$-spaces.Bull. Acad. Polon. Sci. 26 (1978), 415-420. MR 0500088 |
| Reference:
|
[LM] Lorentz G., MacPhail M.: Unbounded operators and a theorem of A. Robinson.Trans. Royal Soc. Canada 46 (1952), 33-37. Zbl 0048.35205, MR 0052533 |
| Reference:
|
[M] Maddox I.: Infinite Matrices of Operators.Springer-Verlag, Heidelberg, 1980. Zbl 0424.40002, MR 0568707 |
| Reference:
|
[NP] Neumann M., Pták V.: Automatic continuity, local type and casuality.Studia Math. 82 (1985), 61-90. MR 0809773 |
| Reference:
|
[P] Pták V.: A uniform boundedness theorem and mappings into spaces of operators.Studia Math. 31 (1968), 425-431. MR 0236672 |
| Reference:
|
[PB] Perez Carreras P., Bonet J.: Barrelled Locally Convex Spaces.North Holland, Amsterdam, 1987. Zbl 0614.46001, MR 0880207 |
| . |
