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Summability results for matrices of quasi - homogeneous operators

  • Shuhui, Zhong [1] ; Ronglu, Li [1] ; Hong, Yang [2]
    1. [1] Harbin Institute of Technology

      Harbin Institute of Technology

      China

    2. [2] Heilongjiang Bayi Agricultural University

      Heilongjiang Bayi Agricultural University

      China

  • Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 27, Nº. 3, 2008, págs. 249-258
  • Idioma: inglés
  • DOI: 10.4067/S0716-09172008000300003
  • Enlaces
  • Resumen
    • Some summability results are established for matrices of quasihomogeneous operators by uniformly vanishing sets.

  • Referencias bibliográficas
    • Citas [1] C. Swartz, Infinite Matrices and the Gliding Hump. World Scientific, Singapore, (1996).
    • [2] G. Köthe, Topological Vector Spaces I, Springer-Verlag, (1969).
    • [3] Li Ronglu and Cho Min Hyung, A Uniform Convergence Principle. J. Harbin Inst. Techn. 24(3), pp. 107—108, (1992). [4] Li Ronglu, Li Longsuo...
    • [5] Li Ronglu, Shin Min Kang and C. Swartz, Operator Matrices on Topological Vector Spaces. J. Math. Anal. Appl. 274(2), pp. 645—658, (2002).
    • [6] Li Ronglu, Wang Fubin and Zhong Shuhui, The Strongest Intrinsic Meaning of Sequential-evaluation Convergence. Topology and Appl. 154(6),...
    • [7] Qiu Jinghui, Resonance Theorems for Families of Quasi-homogeneous Operators. Chinese Ann. Math. Ser. A 25(3), pp. 389—396. (in Chinese),...
    • [8] Qiu Jinghui, Resonance Theorems for Families of Quasi-homogeneous Operators Taking Values in Topological Vector Spaces. J. Math. Research...
    • [9] S. M. Khaleelulla, Counterexamples in Topological Vector Spaces. Springer-Verlag, Heidelberg, (1982).
    • [10] Song Mingliang and Fang Jinxuan, Resonance Theorems for Families of Quasi-homogeneous Operators in Fuzzy Normed Linear Spaces. Fuzzy...
    • [11] Wu Junde and Li Ronglu, An equivalent Form of Antosik-Mikusinski Basic Matrix Theorem. Advances in Math. (China) 28(3), pp. 268, (1999).

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