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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
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Category: math
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MSC: 40H05
MSC: 46A45
MSC: 47B37
idZBL: Zbl 0793.47031
idMR: MR1205232
DOI: 10.21136/CMJ.1993.128382
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Date available: 2009-09-24T09:27:31Z
Last updated: 2020-07-29
Stable URL: http://hdl.handle.net/10338.dmlcz/128382
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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
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