Peter G. Casazza Explained

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]

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.

Notes and References

  1. Web site: Casazza. Peter. Departmental Webpage.
  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. 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 . 10.2307/2039175. 2039175. free.
  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. 10.1017/S0308210500022770. math/9403210. 119164575.
  5. Book: Peter G. Casazza. Gitta Kutyniok. Gitta Kutyniok. Finite frames : theory and applications. 2013. Birkhäuser. Berlin. 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. 10.1016/j.jmaa.2016.04.001. 1410.7755. 14173332.
  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. 10.1090/S0002-9939-2011-11072-4. 1004.2446. 33897848.
  8. Bodmann. Bernhard G.. Casazza. Peter G.. Kutyniok. Gitta. Gitta Kutyniok. A quantitative notion of redundancy for finite frames. Applied and Computational Harmonic Analysis. May 2011. 30. 3. 348–362. 10.1016/j.acha.2010.09.004. 0910.5904. 15700141.
  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. 10.1073/pnas.0507888103. 16461465. 1413700. math/0510024. 2006PNAS..103.2032C. free.
  10. Web site: Peter G. Casazza (University of Missouri, Columbia) on ResearchGate - Expertise: Applied Mathematics, Analysis, Statistics. www.researchgate.net. en.
  11. Web site: Peter G. Casazza (University of Missouri, Columbia) on ResearchGate - Expertise: Applied Mathematics, Analysis, Statistics. www.researchgate.net. en.
  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. 10.1073/pnas.0507888103. 16461465. 1413700. math/0510024. 2006PNAS..103.2032C. free.