程慶進,博士,廈門大學數學科學學院教授、博士生導師。
基本介紹
- 中文名:程慶進
- 學位/學歷:博士
- 職業:教師
- 專業方向:Banach空間非線性幾何理論及其套用
- 職務:博士生導師
- 職稱:廈門大學數學科學學院教授
- 任職院校:廈門大學
個人經歷,主講課程,研究方向,學術成果,科研項目,發表論文,
個人經歷
2015--至今:廈門大學數學科學學院,博士生導師
2015-2016: Texas A & M University (美國), 國家公派訪問學者
2009-2011:清華大學數學系,博士後
2007-至今:廈門大學數學科學學院助理教授、副教授、教授
2004-2007: 廈門大學數學科學學院基礎數學專業, 博士
主講課程
實變函式(本科生),泛函分析(本科生),高等數學(本科生),
實分析與泛函分析(研究生)
研究方向
Banach空間非線性幾何理論及其套用
學術成果
科研項目
(1)主持的國家自然科學基金項目:
1. 國家自然科學基金(面上)項目,項目名稱:Banach空間的嵌入理論及其套用,
2015.1-2018.12
2. 國家自然科學基金(青年)項目,項目名稱:關於度量空間、Banach空間的嵌入與粗嵌入,2011.1-2013.12
3. 第四十六批博士後基金項目,項目名稱:空間的粗嵌入與粗幾何,2009.8-2011.4
4. 國家自然科學基金(天元)項目,項目名稱:Banach空間的局部嵌入與粗嵌入,2009.1-2011.12
(2)主持的省部級自然科學基金項目:
1. 福建省自然科學基金(面上)項目,項目名稱:Banach空間的非線性幾何與Novikov猜測(2017J0101), 2017.4-2020.4
2. 福建省自然科學基金(面上)項目,項目名稱:度量空間的粗分類,2011.7-2014.7
3. 中央高校基本科研業務費,項目名稱:無窮維幾何與粗幾何,2011.1-2014.12
4. 中央高校基本科研業務費,項目名稱:無窮維幾何與粗幾何,2015.2-2017.12
5. 教育部新教師基金項目,項目名稱:Banach空間的局部嵌入理論及其套用,
2008.1-2011.12
(3)參與一項國家自然科學基金重點項目:
1. 國家自然科學基金(重點)項目,項目名稱: Banach空間的非線性幾何及其套用,
(11731070), 2018.1-2022.12
發表論文
[18] Cheng, Lixin; Cheng, Qingjin; Luo, Sijie; Tu, Kun; Zhang, Jichao. On super weak compactness of subsets and equivalences in Banach spaces, Journal of Convex Analysis, 25: 3 (2018).
[17] Cheng, Lixin; Cheng, Qingjin;Shen, Qinrui; Tu, Kun; Zhang, Wen. A new approach to measure of non-compactness of Banach spaces. Studia Math. 240 (2018), no. 1, 21-45.
[16] Cheng, Qingjin; Wang, Qin. On Banach spaces with Kasparov and Yu's Property (H). J. Math. Anal. Appl. 457 (2018), no. 1, 200–213.
[15] Cheng, Qing Jin; Dong, Yun Bai. Uniform homeomorphisms of unit spheres and property H of Lebesgue-Bochner function spaces. Acta Math. Sin. (Engl. Ser.)33 (2017), no. 5, 681–690.
[14] Yang, Zhi Tao; Lu, Yu Feng; Cheng, Qingjin. Super weak compactness and uniform Eberlein compacta. Acta Math. Sin. (Engl. Ser.) 33 (2017), no. 4, 545–553.
[13] Cheng, Qingjin. Sphere equivalence, property H, and Banach expanders. Studia Math. 233 (2016), no. 1, 67–83.
[12]Dong, Yunbai; Cheng, Qingjin. A note on stability of Fischer-Muszély functional equation. Aequationes Math. 89 (2015), no. 3, 605–612.
[11] Cheng, Lixin; Cheng, Qingjin; Tu, Kun; Zhang, Jichao. A universal theorem for stability of ε -isometries of Banach spaces. J. Funct. Anal. 269 (2015), no. 1, 199–214.
[10] Cheng, Lixin; Cheng, Qingjin; Zhang, Jichao. On super fixed point property and super weak compactness of convex subsets in Banach spaces. J Math. Anal. Appl. 428(2015) no.2, 1209-1224.
[9] Dong, Yunbai; Cheng, Qingjin. Characterization of normed linear spaces with generalized Mazur intersection property, Studia Math. 219 (2013),no.3, 193-200.
[8] Bao, Lingxin; Cheng, Lixin; Dai, Duanxu. On universally left-stability of \varepsilon-isometry, Acta Math. Sin. (Engl.Ser.)29(2013),no.11,2037-2046.
[7] Cheng, Qingjin; Wang, Bo; Wang, Cuiling. On uniform convexity of Banach spaces,Acta Math. Sin(Engl. Ser), 27(2011),no.3, 587–594.
[6] Cheng,Lixin, Cheng, Qingjin, Liu, Zhang, Wen. Every weakly compact set can be uniformly embedded into a reflexive Banach space,Acta Math. Sin(Engl. Ser), 27(2011) ,no.7, 1109-1112
[5] Cheng, Lixin; Cheng, Qingjin; Luo, Zhenghua. On some new characterizations of weakly compact sets in Banach spaces,Studia Math.201(2010) ,no.2, 155–166
[4] Cheng, Lixin; Cheng, Qingjin. More on convexity and smoothness of operators,J Math. Anal. Appl. 371 no.2(2010), 407-413
[3] Cheng, Lixin; Cheng, Qingjin; Wang, Bo; Zhang, Wen. On super-weakly compact sets and uniformly convexifiable sets,Studia Math. 199(2)(2010),145-169
[2] Cheng, Lixin; Cheng, Qingjin; Shi, Huihua. Minimal ball-coverings of Banach spaces and their application,Studia Math.192(2009), 15-27
[1] Cheng,Lixin; Cheng, Qingjin; Liu, Xiaoyan. Ball-covering property is not preserved under linear isomorphisms, Science in China A: Mathematics 51:1(2008),143-147