Peter G. Casazza

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).

Peter G. Casazza (June 28, 1945 - October 26, 2025) born in Albany, New York, was an American mathematician who worked at the University of Missouri. ^[1] He began his career as a Banach space theorist, ^{[2] [3] [4]} but he was 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]} He earned his Ph.D. in mathematics from the University of Iowa in 1972 and held appointments at the University of Alabama-Huntsville before joining the University of Missouri-Columbia in 1983 where he stayed until his retirement in 2021. He also held visiting appointments around the world, including at the Hebrew University of Jerusalem in Israel, the University of Cambridge in England, and Odense University in Denmark.

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

He was an active mathematical researcher and directed the Frame Research Center in Columbia, Missouri.

References

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.