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2016 | Nr 57 | 137--145
Tytuł artykułu

Multiplication operators on Cesàro-Orlicz sequence spaces

Wybrane pełne teksty z tego czasopisma
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In this paper, we characterize the compact, invertible, Fredholm and closed range multiplication operators on Cesàro-Orlicz sequence spaces.
Wydawca

Rocznik
Tom
Strony
137--145
Opis fizyczny
Bibliogr. 24 poz.
Twórcy
autor
  • Department of Mathematics, Shri Mata Vaishno Devi University, Katra-182320, J & K, India, kuldipraj68@gmail.com
autor
  • Department of Mathematics, Shri Mata Vaishno Devi University, Katra-182320, J & K, India, charu145.cs@gmail.com
autor
Bibliografia
  • [1] Programma van Jaarlijkse Prijsvragen, (Annual Problem Section), Nieuw Arch. Wiskd., 16(1968), 47-51.
  • [2] Abrahmse M.B., Multiplication operators, Lecture Notes in Mathematics, 693 Springer Verlag (1978), 17-36.
  • [3] Cui Y., Hudzik H., Packing constant for Cesàro sequence spaces, Nonlinear Anal., 47(2001), 2695-2702.
  • [4] Cui Y., Hudzik H., Petrot N., Szymaszkiewicz A., Basic topological and geometric properties of Cesàro-Orlicz spaces, Proc. Indian Acad. Sci. Math. Sci., 115(2005), 461-476.
  • [5] Cui Y., Hudzik H., Some geometric properties related to fixed point theory in Cesàro spaces, Collect. Math., 50(1999), 277-288.
  • [6] Cui Y., R.Płuciennik, Local uniform nonsquareness in Cesàro sequence spaces, Comment. Math. Prace Mat., 37(1997), 47-58.
  • [7] Cui Y., R.Płuciennik, Banach-Saks property and property β in Cesàro sequence spaces, Southeast Asian Bull. Math., 24(2000), 201-210.
  • [8] Foralewski P., Hudzik H., Szymaszkiewicz A., Local rotundity structure of Cesàro-Orlicz spaces, J. Math. Anal. Appl., 345(2008), 410-419.
  • [9] Jagers A.A., A note on Cesàro sequence spaces, Nieuw Arch. Wiskund, 22(1974), 113-124.
  • [10] Kubiak D.M., A note on Cesàro-Orlicz spaces, J. Math. Anal. Appl., 349(2009), 291-296.
  • [11] Lim S.K., Lee P.Y., An Orlicz extension of Cesàro sequence spaces, Comment. Math. Prace Mat., 28(1988), 117-128.
  • [12] Lee P.Y., Cesàro sequence spaces, Math. Chronicle, New Zealand, 13(1984), 29-45.
  • [13] Leibowitz G.M., A note on Cesàro sequence spaces, Tamkang J. Math., 2(1971), 151-157.
  • [14] Maligranda L., Petrot N., Suantai S., On the james constants and B-convexity of Cesàro and Cesàro-Orlicz sequence spaces, J. Math. Anal. Appl., 326(2007), 312-326.
  • [15] Mursaleen M., Noman A.K., Compactness by the Hausdorff measure of noncompactness, Nonlinear Anal., 73(2010), 2541-2557.
  • [16] Mursaleen M., Noman A.K., Compactness of matrix operators on some new difference sequence spaces, Linear Algebra Appl., 436(2012), 41-52.
  • [17] Petrot N. Suantai S., Some geometric properties in Orlicz-Cesàro spaces, Science Asia, 31(2005), 173-177.
  • [18] Raj K., Sharma S.K., Kumar A., Multiplication operator on Musielak-Orlicz spaces of Bochner type, J. Adv. Stud. Topol., 3(2012), 1-7.
  • [19] Sharma A., Raj K., Sharma S.K., Products of multiplication composition and differentiation operators from H to weighted Bloch spaces, Indian J. Math., 54(2012), 159-179.
  • [20] Singh R.K., Manhas J.S., Composition Operators on Function Spaces, North Holland, 1993.
  • [21] Singh R.K., Kumar A., Multiplication operators with closed range, Bull. Aust. Math. Soc., 16(1977), 247-252.
  • [22] Singh R.K., Manhas J.S., Multiplication operators and composition operators with closed ranges, Bull. Aust. Math. Soc., 16(1977), 247-252.
  • [23] Shiue J.S., On the Cesàro sequence spaces, Tamkang J. Math., 1(1970), 19-25.
  • [24] Takagi H., Yokouchi K., Multiplication and composition operators between two L -spaces, Contemp. Math., 232(1999), 321-338.
Uwagi
Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.
Typ dokumentu
Bibliografia
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Identyfikator YADDA
bwmeta1.element.baztech-08aca12c-31c3-4d62-b830-0299bdddf57b
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