Title:
|
Matrix transformations on nuclear Köthe spaces (English) |
Author:
|
Deheri, G. M. |
Language:
|
English |
Journal:
|
Czechoslovak Mathematical Journal |
ISSN:
|
0011-4642 (print) |
ISSN:
|
1572-9141 (online) |
Volume:
|
43 |
Issue:
|
1 |
Year:
|
1993 |
Pages:
|
83-93 |
. |
Category:
|
math |
. |
MSC:
|
40H05 |
MSC:
|
46A45 |
MSC:
|
47B37 |
idZBL:
|
Zbl 0793.47031 |
idMR:
|
MR1205232 |
DOI:
|
10.21136/CMJ.1993.128382 |
. |
Date available:
|
2009-09-24T09:27:31Z |
Last updated:
|
2020-07-29 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128382 |
. |
Reference:
|
[1] R. T. Jacob, Jr.: Matrix transformation involving simple sequence spaces.Pacific J. Math. 70 (1977), 179–187. MR 0487391, 10.2140/pjm.1977.70.179 |
Reference:
|
[2] J. Horvath: Topological Vector Spaces and Distribution I.Addison Wesley, 1966. MR 0205028 |
Reference:
|
[3] P. K. Kamthan and M. Gupta: On Matrix Transformations.Periodica Math. Hungaria 13(4) (1982), 325–328. MR 0698580, 10.1007/BF01849244 |
Reference:
|
[4] P. K. Kamthan and M. Gupta and M. A. Sofi: $ł$-bases and their Application.J. Math. Anal. Appl. (1982), 76–99. MR 0661403, 10.1016/0022-247X(82)90177-9 |
Reference:
|
[5] G. Köthe: Topological Vector Spaces I.Springer Verlag, Berlin, 1969. MR 0248498 |
Reference:
|
[6] G. Köthe: Nuclear (F) – and (DF) – Folgenraume.Theory of Sets and Topology (1972), 327–332. |
Reference:
|
[7] A. Pietsch: Nuclear Locally Convex Spaces.Springer Verlag, Berlin, 1967. MR 0221262 |
Reference:
|
[8] K. C. Rao: Matrix Transformations of some Sequence Spaces II.Glasgow J. Math. 11 (1970), 161–166. Zbl 0203.43102, MR 0271684 |
Reference:
|
[9] William H. Ruckle: Sequence Spaces.Pitsman Adv. Publishing Company, 1984. MR 0634231 |
Reference:
|
[10] M. A. Sofi: Some criteria for Nuclearity.Math. Proc. Cambridge, Phil Soc. 100 (1986), 15–159. Zbl 0615.46003, MR 0838662 |
Reference:
|
[11] Y. C. Wong: Schwartz Spaces, Nuclear spaces and Tensor products.Springer Verlag Lect. Notes 726 (1979). Zbl 0413.46001, MR 0541034, 10.1007/BFb0062869 |
. |