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Title: Inclusion theorems for some sets of sequences defined by $\varphi $-functions (English)
Author: Kolk, Enno
Author: Mölder, Annemai
Language: English
Journal: Mathematica Slovaca
ISSN: 0139-9918
Volume: 54
Issue: 3
Year: 2004
Pages: 267-279
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Category: math
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MSC: 40F05
MSC: 46A45
idZBL: Zbl 1074.40001
idMR: MR2076363
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Date available: 2009-09-25T14:21:03Z
Last updated: 2012-08-01
Stable URL: http://hdl.handle.net/10338.dmlcz/136907
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Reference: [1] BHARDWAJ V. K.-SINGH N.: Some sequence spaces defined by Orlicz functions.Demonstratio Math. 33 (2000), 571-582. Zbl 0966.46002, MR 1791722
Reference: [2] CONNOR J.: On strong matrix summability with respect to a modulus and statistical convergence.Canad. Math. Bull. 32 (1989), 194-198. Zbl 0693.40007, MR 1006746
Reference: [3] DEDAGICH F.-ZABREIKO P. P.: On superposition operators in $\ell_p$ spaces.Sibirsk. Mat. Zh. 28 (1987), 86-98. (Russian) MR 0886856
Reference: [4] : Encyclopaedia of Mathematics.Vol. 1 (M. Hazewinkel, ed.), Kluwer Academic Publishers, Dortrecht, 1995. Zbl 0829.00004
Reference: [5] ESI A.: Some new sequence spaces defined by a modulus function.Math. Slovaca 49 (1999), 53-61. Zbl 0946.46007, MR 1804473
Reference: [6] ESI A.: Some new sequence spaces defined by Orlicz functions.Bull. Inst. Math. Acad. Sinica27 (1999), 71-76. Zbl 0915.40001, MR 1681557
Reference: [7] GHOSH D.-SRIVASTAVA P. D.: On some vector valued sequence space using Orlicz function.Glas. Mat. Ser. Ill 34 (1999), 253-261. Zbl 0953.46002, MR 1739623
Reference: [8] GRINNELL R. J.: Functions preserving sequence spaces.Real Anal. Exchange 25 (1999/2000), 239-256. MR 1758005
Reference: [9] GROSSE-ERDMANN K.-G.: The structure of the sequence spaces of Maddox.Canad. J. Math. 44 (1992), 298-302. Zbl 0777.46008, MR 1162345
Reference: [10] KOLK E.: Sequence spaces defined by a sequence of moduli.In: Abstracts of conference "Problems of Pure and Applied Mathematics", Tartu, 1990, pp. 131-134.
Reference: [11] KOLK E.: On strong boundedness and summability with respect to a sequence of moduli.Tartu Ul. Toimetised 960 (1993), 41-50. Zbl 1210.40015, MR 1231936
Reference: [12] KOLK E. : Inclusion theorems for some sequence spaces defined by a sequence of moduli.Tartu Ul. Toimetised 970 (1994), 65-72. Zbl 1210.40010, MR 1337906
Reference: [13] KOLK E. : F-seminormed sequence spaces defined by a sequence of modulus functions and strong summability.Indian J. Pure Appl. Math. 28 (1997), 1547-1566. Zbl 0920.46002, MR 1608597
Reference: [14] LINDENSTRAUSS J.-TZAFRIRI L.: Classical Banach Spaces. I. Sequence Spaces.Ergeb. Math. Grenzgeb. 92, Springer-Verlag, Berlin-New York, 1977. Zbl 0362.46013, MR 0500056
Reference: [15] MADDOX I. J.: Sequence spaces defined by a modulus.Math. Proc. Cambridge Philos. Soc. 100 (1986), 161-166. Zbl 0631.46010, MR 0838663
Reference: [16] MADDOX I. J.: A class of dual sequence spaces.Tartu Ul. Toimetised 960 (1993), 67-74. Zbl 1210.46008, MR 1231938
Reference: [17] MALKOWSKY E.-SAVAS E.: Some $\lambda$-sequence spaces defined by a modulus.Arch. Math. (Brno) 36 (2000), 219-228. Zbl 1046.40011, MR 1785040
Reference: [18] MUSIELAK J.: Orlicz Spaces and Modular Spaces.Lecture Notes in Math. 1034, Springer-Verlag, Berlin-Heidelberg-New York-Tokyo, 1983. Zbl 0557.46020, MR 0724434
Reference: [19] PARASHAR S. D.-CHOUDHARY B.: Sequence spaces defined by Orlicz functions.Indian J. Pure Appl. Math. 25 (1994), 419-428. Zbl 0802.46020, MR 1272814
Reference: [20] PEHLIVAN S.: On strong almost convergence and uniform statistical convergence.Acta Comment. Univ. Tartu. Math. 2 (1998), 19-22. Zbl 0944.40001, MR 1714732
Reference: [21] PEHLIVAN S.-FISHER B.: Some sequence spaces defined by a modulus.Math. Slovaca 45 (1995), 275-280. Zbl 0852.40002, MR 1361822
Reference: [22] RUCKLE W. H.: FK spaces in which the sequence of coordinate vectors is bounded.Canad. J. Math. 25 (1973), 973-978. Zbl 0267.46008, MR 0338731
Reference: [23] SOOMER V.: On sequence spaces defined by a sequence of moduli and an extension of Kuttner's theorem.Acta Comment. Univ. Tartu. Math. 2 (1998), 29-38. Zbl 0944.40009, MR 1714729
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