Linear Operators (book)
textbook by Nelson Dunford and Jacob T. Schwartz, published in three volumes
Linear Operators is a three-volume textbook on the theory of linear operators, written by Nelson Dunford and Jacob T. Schwartz. The three volumes are (I) General Theory; (II) Spectral Theory, Self Adjoint Operators in Hilbert Space; and (III) Spectral Operators. The first volume was published in 1958, the second in 1963, and the third in 1971. All three volumes were reprinted by Wiley in 1988. Canonically cited as Dunford and Schwartz, the textbook has been referred to as "the definitive work" on linear operators.
The work began as a written set of solutions to the problems for Dunford's graduate course in linear operators at Yale. Schwartz, a prodigy, had taken his undergraduate degree at Yale in 1948, age 18. In 1949 he began his graduate studies and enrolled in his course. Dunford recognised Schwartz's intelligence and they began a long collaboration, with Dunford acting as Schwartz's advisor for his dissertation Linear Elliptic Differential Operators. One fruit of their collaboration was the Dunford-Schwartz theorem.
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This entry incorporates text from “Linear Operators (book)” on English Wikipedia. Contributors are listed in the page history. Text is available under the Creative Commons Attribution-ShareAlike 4.0 License. Selected authority identifiers and statements are retrieved from Wikidata under CC0; their references and qualifiers remain part of the verification path.