彼得·G·卡薩扎

彼得·G·卡薩扎(英語:Peter G. Casazza,1945年6月28日)是一名美國數學家,現就職於密蘇里大學[1]。他的職業生涯始於巴拿赫空間理論家[2][3][4],但他最為人所知的可能是他在框架英語Frame (linear algebra)理論發展成為數學研究的熱門學科方面所發揮的作用[5][6][7][8][9]

彼得·G·卡薩扎
Peter G. Casazza
攝於2017年
出生 (1945-06-28) 1945年6月28日79歲)
 美國紐約州奧爾巴尼
科學生涯
研究領域數學
機構密蘇里大學

卡薩扎出版了100多部著作[10],其中有幾部是與妻子珍妮特·特里曼(Janet Tremain)合著的[11][12]

他是一位活躍的數學研究者,目前在密蘇里州哥倫比亞管理弗雷姆研究中心。

參考資料

編輯
  1. ^ Casazza, Peter. Departmental Webpage. [2024-04-07]. (原始內容存檔於2020-01-01). 
  2. ^ Casazza, Peter G. The Norms of Projections Onto Ideals in the Disk Algebra. Bulletin of the London Mathematical Society. November 1992, 24 (6): 552–558. doi:10.1112/blms/24.6.552. 
  3. ^ Casazza, Peter. Complete Bases and Normal Structure in Banach Spaces. Proceedings of the American Mathematical Society. February 1972, 36 (2): 443–447. JSTOR 2039175. doi:10.2307/2039175 . 
  4. ^ Casazza, P. G.; Jarchow, H. Self-induced compactness in Banach spaces. Proceedings of the Royal Society of Edinburgh, Section A. 14 November 2011, 126 (2): 355–362. S2CID 119164575. arXiv:math/9403210 . doi:10.1017/S0308210500022770. 
  5. ^ Peter G. Casazza; Gitta Kutyniok (編). Finite frames : theory and applications. Berlin: Birkhäuser. 2013. ISBN 978-0-8176-8372-6. 
  6. ^ Casazza, Peter G.; Pinkham, Eric; Tuomanen, Brian. Riesz outer product Hilbert space frames: Quantitative bounds, topological properties, and full geometric characterization. Journal of Mathematical Analysis and Applications. September 2016, 441 (1): 475–498. S2CID 14173332. arXiv:1410.7755 . doi:10.1016/j.jmaa.2016.04.001. 
  7. ^ Bodmann, Bernhard G.; Casazza, Peter G.; Paulsen, Vern I.; Speegle, Darrin. Spanning and independence properties of frame partitions. Proceedings of the American Mathematical Society. 1 July 2012, 140 (7): 2193–2207. S2CID 33897848. arXiv:1004.2446 . doi:10.1090/S0002-9939-2011-11072-4. 
  8. ^ Bodmann, Bernhard G.; Casazza, Peter G.; Kutyniok, Gitta. A quantitative notion of redundancy for finite frames. Applied and Computational Harmonic Analysis. May 2011, 30 (3): 348–362. S2CID 15700141. arXiv:0910.5904 . doi:10.1016/j.acha.2010.09.004. 
  9. ^ Casazza, P. G.; Tremain, J. C. The Kadison-Singer Problem in mathematics and engineering. Proceedings of the National Academy of Sciences. 3 February 2006, 103 (7): 2032–2039. Bibcode:2006PNAS..103.2032C. PMC 1413700 . PMID 16461465. arXiv:math/0510024 . doi:10.1073/pnas.0507888103 . 
  10. ^ Peter G. Casazza (University of Missouri, Columbia) on ResearchGate - Expertise: Applied Mathematics, Analysis, Statistics. www.researchgate.net. [2024-04-07]. (原始內容存檔於2017-04-10) (英語). 
  11. ^ Peter G. Casazza (University of Missouri, Columbia) on ResearchGate - Expertise: Applied Mathematics, Analysis, Statistics. www.researchgate.net. [2024-04-07]. (原始內容存檔於2017-04-10) (英語). 
  12. ^ Casazza, P. G.; Tremain, J. C. The Kadison-Singer Problem in mathematics and engineering. Proceedings of the National Academy of Sciences. 3 February 2006, 103 (7): 2032–2039. Bibcode:2006PNAS..103.2032C. PMC 1413700 . PMID 16461465. arXiv:math/0510024 . doi:10.1073/pnas.0507888103 .