Joel Shapiro (mathematician)
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Joel H. Shapiro is an American mathematician, active in the field of composition operators. He is the author of the book ''Composition Operators and Classical Function Theory'' (), and the American Mathematical Society memoir "Cyclic Phenomena for Composition Operators" (Memoirs of the American Math. Society #596, Vol. 125, 1997, pp. 1–105), with Paul Bourdon.


Career

Shapiro completed his
PhD PHD or PhD may refer to: * Doctor of Philosophy (PhD), an academic qualification Entertainment * '' PhD: Phantasy Degree'', a Korean comic series * ''Piled Higher and Deeper'', a web comic * Ph.D. (band), a 1980s British group ** Ph.D. (Ph.D. albu ...
thesis entitled "Linear Functionals on Non-Locally Convex Spaces" under the supervision of Allen Shields in 1969 at the University of Michigan. Upon graduating, he became a research associate at Queen's University, Canada, then from 1970 onwards was at
Michigan State University Michigan State University (Michigan State, MSU) is a public university, public Land-grant university, land-grant research university in East Lansing, Michigan. It was founded in 1855 as the Agricultural College of the State of Michigan, the fi ...
, becoming a full professor in 1979. He stayed at Michigan State until 2006, when he retired and became an adjunct professor at Portland State University in Oregon. Shapiro discovered some of the properties of composition operators, including a study of the cyclic properties of such operators and the first calculations of the essential norm J. H. Shapiro, The essential norm of a composition operator. Ann. of Math. (2) 125 (1987), no. 2, 375–404. for composition operators on the Hardy spaces of the Unit disc.


References


External links


Joel Shapiro's Homepage
Living people 20th-century American mathematicians 21st-century American mathematicians University of Michigan alumni Case Western Reserve University alumni Academic staff of Queen's University at Kingston Michigan State University faculty Portland State University faculty Year of birth missing (living people) {{US-mathematician-stub