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Original Articles

Some Characterizations of Riesz- Valued Sequence Spaces Generated by an Order ϕ-Function

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Pages 38-46 | Received 12 Aug 2016, Accepted 04 Jul 2017, Published online: 29 Aug 2017

References

  • J. Banaş and M. Mursaleen (2014). Sequence Spaces and Measures of Noncompactness with Applications to Differential and Integral Equations. Springer, New Delhi.
  • J. Evert and Z. Lewandowska (2004). The structure of some subsets in generalized Orlicz sequence spaces. Bull. Math. Soc. Sci. Math Roumanie (NS) 47:31–34.
  • P. Foralewski, H. Hudzik, and R. Pluciennik (2010). Orlicz spaces without extreem points. J. Math. Anal. Appl. 361:506–519.
  • D. K. Ghosh and P. D. Srivastava (1999). On some vector valued sequence spaces using Orlicz function. Glas. Mat. Ser. III 34(35):253–261.
  • M. Gupta and K. Kaushal (1995). Topological properties and matrix transformation of certain ordered generelized sequence space. Int. J. Math. Math. Sci. 18(2):341–356.
  • E. Herawati, M. Mursaleen, S. Supama, and I. E. Wijayanti (2014). Order matrix transformations on some Banach lattice valued sequence spaces. Appl. Math. Comput. 247:1122–112.
  • E. Herawati, Supama, and M. Mursaleen (2017). Local structure of Riesz- Valued Sequence spaces defined by an order Φ-function. Linear Multilinear Algebra 65(3):545–554. DOI:10.1080/03081087.2016.1194803.
  • E. Kolk (2011). Topologies in generalized Orlicz sequence spaces. Filomat 25(4):191–211.
  • P. Kolwicz and R. Pluciennik (2009). Local △2E(x) condition as a crucial tool for local structure of Calderón- Lozanovski̇ĭ spaces. J. Math. Anal. Appl. 356:605–614.
  • I. J. Lindenstrauss and I. Tzafriri (1983). Classical Banach Spaces I, Lecturer Notes in Math, New York, Tokyo. Springer-Verlag, Berlin, Heidelberg.
  • W. A. J. Luxemberg and A. C. Zaanen (1971). Riesz Spaces I. North-Holland Publishing Company: Amsterdam.
  • M. K. Ozdemir and I. Solak (2006). Some structural properties of vector valued sequence spaces. Thai J. Math 4:93–105.
  • A. Pietsch (1965). Nuclear Locally Convex Spaces, Akademie Verlag, Berlin.
  • B. Walsh (1973). Ordered vector sequence spaces and related class of linear operators. Math. Ann. 206:89–138.
  • A. C. Zaanen (1997). Introduction to Operator Theory in Riesz Spaces. Springer-Verlag: Berlin-Heidelberg.

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