William F. Donoghue Jr.
William Francis Donoghue Jr. (7 September 1921 – 4 April 2002, Irvine, California) was an American mathematician, specializing in analysis.
Biography[]
Donoghue received in 1951 his PhD from the University of Wisconsin–Madison. His dissertation The Bounded Closure of Locally Convex Spaces was written under the supervision of William Frederick Eberlein.[1] Donoghue taught and did research at the University of Kansas, New York University, and Michigan State University, before he became in 1965 a professor at the University of California, Irvine.[2]
For the academic year 1958/59[3] he was a Guggenheim Fellow in Sweden. For four months months in 1962 he was a visiting professor at the University of Paris. He spent the academic year 1972/73 on sabbatical at the University of Lund.[2]
On January 26, 1974, he married Grace Koo in Orange County, California.
Selected publications[]
Articles[]
- Donoghue, William F.; Smith, Kennan T. (1952). "On the Symmetry and Bounded Closure of Locally Convex Spaces". Transactions of the American Mathematical Society. 73 (2): 321. doi:10.2307/1990672. JSTOR 1990672.
- Donoghue, W. F. (1957). "The lattice of invariant subspaces of a completely continuous quasi-nilpotent transformation" (PDF). Pacific Journal of Mathematics. 7 (2): 1031–1035. doi:10.2140/pjm.1957.7.1031.
- Donoghue, William F. (1957). "On the numerical range of a bounded operator". The Michigan Mathematical Journal. 4 (3): 261–263. doi:10.1307/mmj/1028997958.
- Kelley, John L.; Namioka, Isaac; Donoghue, W. F.; Lucas, Kenneth R.; Pettis, B. J.; Poulsen, Ebbe Thue; Price, G. Baley; Robertson, Wendy; Scott, W. R.; Smith, Kennan T. (1963). Linear Topological Spaces. Graduate Texts in Mathematics. 36. pp. 26–82. doi:10.1007/978-3-662-41914-4_2. ISBN 978-3-662-41768-3.
- Donoghue, William F. (1963). "On a problem of Nieminen" (PDF). Publications Mathématiques de l'IHÉS. 16: 31–33. doi:10.1007/BF02684290.
- Donoghue, William F. (1965). "On the perturbation of spectra". Communications on Pure and Applied Mathematics. 18 (4): 559–579. doi:10.1002/cpa.3160180402.
- Donoghue, William F. (1965). "On the lifting property". Proceedings of the American Mathematical Society. 16 (5): 913. doi:10.1090/S0002-9939-1965-0208353-3. ISSN 0002-9939.
- Donoghue, William F. (1966). "The theorems of Loewner and Pick". Israel Journal of Mathematics. 4 (3): 153–170. doi:10.1007/BF02760074.
- Donoghue, William F. (1967). "The interpolation of quadratic norms" (PDF). Acta Mathematica. 118: 251–270. doi:10.1007/BF02392483.
- Donoghue, William F. (1980). "Monotone operator functions on arbitrary sets". Proceedings of the American Mathematical Society. 78: 93. doi:10.1090/S0002-9939-1980-0548091-9.
- Donoghue, William F. (1980). "Reproducing Kernel Spaces and Analytic Continuation". The Rocky Mountain Journal of Mathematics. 10 (1): 85–97. doi:10.1216/RMJ-1980-10-1-85. JSTOR 44236514.
Books[]
- Distributions and Fourier Transforms. Academic Press. 2014. ISBN 9780080873442; pbk reprint of 1969 originalCS1 maint: postscript (link)[4]
- Monotone Matrix Functions and Analytic Continuation. Grundlehren der mathematischen Wissenschaften. 207. Springer. 2012-12-06. ISBN 9783642657559; pbk reprint of 1974 originalCS1 maint: postscript (link)
References[]
- ^ William F. Donoghue, Jr. at the Mathematics Genealogy Project
- ^ Jump up to: a b Gelbaum, Bernard. "In Memoriam. William F. Donoghue, Jr". Senate of the University of California.
- ^ "William F. Donoghue Jr". John Simon Guggenheim Memorial Foundation.
- ^ Jones, D. S. (1971). "Review of Distributions and Fourier Transforms". Bulletin of the London Mathematical Society. 3 (1): 89–90. doi:10.1112/blms/3.1.89. ISSN 0024-6093.
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- 20th-century American mathematicians
- University of Wisconsin–Madison alumni
- University of California, Irvine faculty
- 1921 births
- 2002 deaths