彼得·G·卡薩扎
彼得·G·卡薩扎 Peter G. Casazza | |
---|---|
出生 | 美國紐約州奧爾巴尼 | 1945年6月28日
科學生涯 | |
研究領域 | 數學 |
機構 | 密蘇里大學 |
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]。
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
- ^ Casazza, Peter. Departmental Webpage. [2024-04-07]. (原始內容存檔於2020-01-01).
- ^ 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.
- ^ 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 .
- ^ 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.
- ^ Peter G. Casazza; Gitta Kutyniok (編). Finite frames : theory and applications. Berlin: Birkhäuser. 2013. ISBN 978-0-8176-8372-6.
- ^ 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.
- ^ 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.
- ^ 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.
- ^ 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 .
- ^ 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).
- ^ 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).
- ^ 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 .