Barbara Diane MacCluer is an American mathematician. She is a former professor of mathematics at the

University of Virginia The University of Virginia (UVA) is a Public university#United States, public research university in Charlottesville, Virginia, United States. It was founded in 1819 by Thomas Jefferson and contains his The Lawn, Academical Village, a World H ...

and now a

professor emeritus ''Emeritus/Emerita'' () is an honorary title granted to someone who retirement, retires from a position of distinction, most commonly an academic faculty position, but is allowed to continue using the previous title, as in "professor emeritus". ...

there. Her research specialty is in

operator theory In mathematics, operator theory is the study of linear operators on function spaces, beginning with differential operators and integral operators. The operators may be presented abstractly by their characteristics, such as bounded linear operato ...

and

composition operator In mathematics, the composition operator C_\phi with symbol \phi is a linear operator defined by the rule C_\phi (f) = f \circ \phi where f \circ \phi denotes function composition. It is also encountered in composition of permutations in permutati ...

s. She is known for the books she has written on this subject and related areas of

functional analysis Functional analysis is a branch of mathematical analysis, the core of which is formed by the study of vector spaces endowed with some kind of limit-related structure (for example, Inner product space#Definition, inner product, Norm (mathematics ...

Education and career

MacCluer is the daughter of George M. Richards, a research chemist and attorney. She is married to mathematician Thomas Kriete. She graduated from

Michigan State University Michigan State University (Michigan State or MSU) is a public university, public Land-grant university, land-grant research university in East Lansing, Michigan, United States. It was founded in 1855 as the Agricultural College of the State o ...

in 1975 and earned her Ph.D. there in 1983. Her dissertation, ''Holomorphic Self-Maps of the Unit Ball: Iteration and Composition Operators'', was supervised by

Joel Shapiro Joel Elias Shapiro (September 27, 1941 – June 14, 2025) was an American sculptor renowned for his dynamic work composed of simple rectangular shapes. The artist is classified as a Minimalist as demonstrated in his works, which were mostly defi ...

. She worked at the University of Virginia from 1983 to 1986, at the

University of South Carolina The University of South Carolina (USC, SC, or Carolina) is a Public university, public research university in Columbia, South Carolina, United States. Founded in 1801 as South Carolina College, It is the flagship of the University of South Car ...

from 1986 to 1987 and at the

University of Richmond The University of Richmond (UR or U of R) is a Private college, private Liberal arts colleges in the United States, liberal arts college in Richmond, Virginia, United States. It is a primarily undergraduate, residential institution with approxim ...

from 1987 to 1995. She returned to the University of Virginia in 1995.

Books

MacCluer is the author and editor of: *''Composition Operators on Spaces of Analytic Functions'' (CRC, 1995, with Carl C. Cowen) *''Studies on Composition Operators'' (American Mathematical Society, Contemporary Mathematics 213, 1998, edited with F. Jafari, C. Cowen, and A. D. Porter) *''Elementary Functional Analysis'' (Springer,

Graduate Texts in Mathematics Graduate Texts in Mathematics (GTM) () is a series of graduate-level textbooks in mathematics published by Springer-Verlag. The books in this series, like the other Springer-Verlag mathematics series, are yellow books of a standard size (with va ...

253, 2009) *''Differential Equations: Techniques, Theory, and Applications'' (American Mathematical Society, 2020, with Paul S. Bourdon and Thomas L. Kriete)

References

External links

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{{DEFAULTSORT:MacCluer, Barbara Diane Year of birth missing (living people) Living people 20th-century American mathematicians 21st-century American mathematicians Functional analysts Michigan State University alumni University of Virginia faculty University of South Carolina faculty University of Richmond faculty 20th-century American women mathematicians 21st-century American women mathematicians