Summability results for matrices of quasi - homogeneous operators
DOI:
https://doi.org/10.4067/S0716-09172008000300003Keywords:
Quasi-homogeneous operators, uniformly vanishing sets, operator matrices, operadores cuasi-homogéneos, conjuntos uniformemente convergentes.Abstract
Some summability results are established for matrices of quasihomogeneous operators by uniformly vanishing sets.References
[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 and Shin Min Kang, A Class of Operator Matrices on Topological Vector Spaces. Sci. China Ser. A 31(7), pp. 582—592, (2001).
[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), pp. 1195—1205, (2007).
[7] Qiu Jinghui, Resonance Theorems for Families of Quasi-homogeneous Operators. Chinese Ann. Math. Ser. A 25(3), pp. 389—396. (in Chinese), (2004).
[8] Qiu Jinghui, Resonance Theorems for Families of Quasi-homogeneous Operators Taking Values in Topological Vector Spaces. J. Math. Research and Exposition 25(1), pp. 134—138. (in Chinese), (2005).
[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 Sets and Systems 159(6), pp. 708—719, (2008).
[11] Wu Junde and Li Ronglu, An equivalent Form of Antosik-Mikusinski Basic Matrix Theorem. Advances in Math. (China) 28(3), pp. 268, (1999).
[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 and Shin Min Kang, A Class of Operator Matrices on Topological Vector Spaces. Sci. China Ser. A 31(7), pp. 582—592, (2001).
[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), pp. 1195—1205, (2007).
[7] Qiu Jinghui, Resonance Theorems for Families of Quasi-homogeneous Operators. Chinese Ann. Math. Ser. A 25(3), pp. 389—396. (in Chinese), (2004).
[8] Qiu Jinghui, Resonance Theorems for Families of Quasi-homogeneous Operators Taking Values in Topological Vector Spaces. J. Math. Research and Exposition 25(1), pp. 134—138. (in Chinese), (2005).
[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 Sets and Systems 159(6), pp. 708—719, (2008).
[11] Wu Junde and Li Ronglu, An equivalent Form of Antosik-Mikusinski Basic Matrix Theorem. Advances in Math. (China) 28(3), pp. 268, (1999).
Published
2017-04-06
How to Cite
[1]
Z. Shuhui, L. Ronglu, and Y. Hong, “Summability results for matrices of quasi - homogeneous operators”, Proyecciones (Antofagasta, On line), vol. 27, no. 3, pp. 249-258, Apr. 2017.
Issue
Section
Artículos
-
Attribution — You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- No additional restrictions — You may not apply legal terms or technological measures that legally restrict others from doing anything the license permits.
