Multiplication and Composition operators on ωp (f)

• Raj, Kuldip ^[1] ; Sharma, Sunil K. ^[1] ; Jamwal, Seema ^[1]
  1. [1] Shri Mata Vaishno Devi University

     Shri Mata Vaishno Devi University

     India

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 32, Nº. 4, 2013, págs. 321-332
• Idioma: inglés
• DOI: 10.4067/S0716-09172013000400002
• Enlaces
  • Texto completo
• Resumen

  • In this paper we characterize the boundedness, closed range, in-vertibility of the multiplication operators acting on sequence spaces wp(f) defined by a modulus function. We also make an efforts to study some properties of composition operators on these spaces.

• Referencias bibliográficas
  • Citas [1] M. B. Abrahmse, Multiplication operators, Hilbert space operators. Lecture notes in Mathematics, 693 : pp. 17-36, (1978).
  • [2] T. Bilgen, On statistical convergence. An. Univ. Timisoara Ser. Math. Inform., 32 : pp. 3-7, (1994).
  • [3] M. A. Khan, Some sequence spaces with an index defined by a modulus function. Thai J. Math., 2 : 259-264, (2004).
  • [4] B. S. Komal and Kuldip Raj, Multiplication operators induced by operator valued maps. Int. J. Contemp. Math. Sci., Vol.3 : pp. 667- 673,...
  • [5] B. S. Komal and P. S. Singh, Composition operators on the space of entire functions. Kodai Math. J., 14 : pp. 463-469, (1991).
  • [6] G. G. Lorentz, A contribution to the theory of divergent series. Acta. Math., 80 : pp. 167-190, (1948).
  • [7] E. Malkowsky and E. Savas, Some λ-sequence spaces defined by a modulus. Arch. Math., 36 : pp. 219-228, (2000).
  • [8] Kuldip Raj, B. S. Komal and Vinay Khosla, Composition operators on sequence spaces of entire functions. Int. Electron. J. Pure Appl. Math.,...
  • [9] E. Savas, On some generalized sequence spaces defined by a modulus. Indian J. pure Appl. Math., 30 : pp. 459-464, (1999).
  • [10] R. K. Singh and J. S. Manhas, Composition operators on function spaces. North-Holland, (1993).
  • [11] H. Takagi and K. Yokouchi, Multiplication and composition operators between Lp-spaces. Contemp. Math., 232 : pp. 321-338, (1999).