科學研究
(1) 主研國家自然科學基金項目“函式空間上的Banach-Stone型定理”(No.11301285)
(2)主持中央高校基本科研業務費專項資金科技創新項目"關於Banach-Stone定理及相關問題研究"(SWJTU11CX154)
(3)主研中央高校基本科研業務費專項資金專題研究項目"泛函分析與套用偏微分方程理論創新研究"(SWJTU09ZT36)
(4)主研國家自然科學基金項目" 巴拿赫空間中等距運算元的延拓及相關理論"(10571090)
課程教學
(1) 本科生:數學分析 點集拓撲學 實變函式 泛函分析
(2) 研究生:Riesz空間理論 拓撲線性空間 正運算元理論
論文成果
[1] J. X. Chen, The almost lattice isometric copies of $c_0$ in Banach lattices, Comment. Math. Univ. Carolin. 46 (2005), no. 3, 409--412.
[2] J. X. Chen, The lattice-almost isometric copies of $\el_1$ and $\el_{\infinity} $ in Banach lattices, Acta Math. Acad. Paedagog. Nyházi. (N.S.) 22 (2006), no. 1, 73--76 (electronic).
[3] J. X. Chen, Extension theorems with the range space not necessarily Dedekind complete, Note Mat. 26 (2006), no. 2, 153--160.
[4] J. X. Chen, An elementary approach to a lattice-valued Banach-Stone theorem, Tamkang J. Math. 38 (2007), no. 3, 261-265.
[5] J. X. Chen, Z. L. Chen, Ngai-Ching Wong, A Banach-Stone Theorem for Riesz Isomorphisms of Banach Lattices, Proceedings of the American Mathematical Society 136(2008), 3869-3874.
[6] J. X. Chen, Z. L. Chen, G. X. Ji, Order continuous extensions of positive compact operators on Banach lattices, Indag. Math.(N.S.)21(2011),175-180.
[7] Y. Feng, J. X. Chen (通訊作者), Z. L. Chen, f-Orthomorphisms and f-linear operators on the order dual of an f-algebra, Abstract and Applied Analysis, Volume 2012, Article ID 971560, doi:10.1155/2012/971560.
[8] J. X. Chen, Z. L. Chen, Supra-additive and supra-multiplicative maps, Journal of Function Spaces and Applications,Volume 2013, Article ID 108535.
[9] J. X. Chen, Z. L. Chen, G. X. Ji, Almost limited sets in Banach lattices, Journal of Mathematical Analysis and Applications 412 (2014), 547-553.
[10] J. X. Chen, Z. L. Chen, G. X. Ji, Domination by positive weak* Dunford-Pettis operators on Banach lattices, Bulletin of the Australian Mathematical Society 90 (2014), no.2, 311-318.
[11] J. X. Chen, L. Li, On a question of Bouras concerning weak compactness of almost Dunford-Pettis sets, Bulletin of the Australian Mathematical Society 92 (2015), 111-114.
[12] J. X. Chen, Anton. R. Schep, Two-sided multiplication operators on the space of regular operators, Proceedings of the American Mathematical Society 144 (2016),no.6, 2495-2501.
[13] Wen Yongming, Chen Jinxi, Characterizations of Banach spaces with relatively compact Dunford-Pettis sets, Advances in Mathematics (China) 45 (2016), no.1, 122-132.
[14] Dongyang Chen, Jinxi Chen, Ju Myung Kim, Some positive approximation properties of Banach lattices.