Wikipedia

Peter G. Casazza

Peter G. Casazza, born June 28, 1945, in Albany, New York, is an American mathematician, presently working at the University of Missouri.[1] He began his career as a Banach space theorist,[2][3][4] but he is perhaps most well known for his role in the development of frame (linear algebra) theory as a popular discipline of mathematical research.[5][6][7][8][9]

Peter G. Casazza discussing the core structures of Grassmannian frames in a classroom he and his wife, Janet Tremain, installed in the basement of their home. Photo taken May 15, 2017.
Peter G. Casazza along with some of his fellow coauthors during a math workshop in Hong Kong. From left to right: Bernhard G. Bodmann, John I. Haas IV, Peter G. Casazza, and Janet Tremain (his wife).

Casazza has over 100 publications,[10] several of which are coauthored with his wife, Janet Tremain.[11][12]

He is an active mathematical researcher and currently runs the Frame Research Center in Columbia, Missouri.

References edit

  1. ^ Casazza, Peter. "Departmental Webpage".
  2. ^ Casazza, Peter G. (November 1992). "The Norms of Projections Onto Ideals in the Disk Algebra". Bulletin of the London Mathematical Society. 24 (6): 552–558. doi:10.1112/blms/24.6.552.
  3. ^ Casazza, Peter (February 1972). "Complete Bases and Normal Structure in Banach Spaces". Proceedings of the American Mathematical Society. 36 (2): 443–447. doi:10.2307/2039175. JSTOR 2039175.
  4. ^ Casazza, P. G.; Jarchow, H. (14 November 2011). "Self-induced compactness in Banach spaces". Proceedings of the Royal Society of Edinburgh, Section A. 126 (2): 355–362. arXiv:math/9403210. doi:10.1017/S0308210500022770. S2CID 119164575.
  5. ^ Peter G. Casazza; Gitta Kutyniok, eds. (2013). Finite frames : theory and applications. Berlin: Birkhäuser. ISBN 978-0-8176-8372-6.
  6. ^ Casazza, Peter G.; Pinkham, Eric; Tuomanen, Brian (September 2016). "Riesz outer product Hilbert space frames: Quantitative bounds, topological properties, and full geometric characterization". Journal of Mathematical Analysis and Applications. 441 (1): 475–498. arXiv:1410.7755. doi:10.1016/j.jmaa.2016.04.001. S2CID 14173332.
  7. ^ Bodmann, Bernhard G.; Casazza, Peter G.; Paulsen, Vern I.; Speegle, Darrin (1 July 2012). "Spanning and independence properties of frame partitions". Proceedings of the American Mathematical Society. 140 (7): 2193–2207. arXiv:1004.2446. doi:10.1090/S0002-9939-2011-11072-4. S2CID 33897848.
  8. ^ Bodmann, Bernhard G.; Casazza, Peter G.; Kutyniok, Gitta (May 2011). "A quantitative notion of redundancy for finite frames". Applied and Computational Harmonic Analysis. 30 (3): 348–362. arXiv:0910.5904. doi:10.1016/j.acha.2010.09.004. S2CID 15700141.
  9. ^ Casazza, P. G.; Tremain, J. C. (3 February 2006). "The Kadison-Singer Problem in mathematics and engineering". Proceedings of the National Academy of Sciences. 103 (7): 2032–2039. arXiv:math/0510024. Bibcode:2006PNAS..103.2032C. doi:10.1073/pnas.0507888103. PMC 1413700. PMID 16461465.
  10. ^ "Peter G. Casazza (University of Missouri, Columbia) on ResearchGate - Expertise: Applied Mathematics, Analysis, Statistics". www.researchgate.net.
  11. ^ "Peter G. Casazza (University of Missouri, Columbia) on ResearchGate - Expertise: Applied Mathematics, Analysis, Statistics". www.researchgate.net.
  12. ^ Casazza, P. G.; Tremain, J. C. (3 February 2006). "The Kadison-Singer Problem in mathematics and engineering". Proceedings of the National Academy of Sciences. 103 (7): 2032–2039. arXiv:math/0510024. Bibcode:2006PNAS..103.2032C. doi:10.1073/pnas.0507888103. PMC 1413700. PMID 16461465.
Retrieved from "https://en.wikipedia.org/w/index.php?title=Peter_G._Casazza&oldid=1162507763"