Robert Clarke James (1918 – September 25, 2004) was an

American American(s) may refer to: * American, something of, from, or related to the United States of America, commonly known as the "United States" or "America" ** Americans, citizens and nationals of the United States of America ** American ancestry, p ...

mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, mathematical structure, structure, space, Mathematica ...

who worked in

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 ...

Biography

James attended

UCLA The University of California, Los Angeles (UCLA) is a public land-grant research university in Los Angeles, California, United States. Its academic roots were established in 1881 as a normal school then known as the southern branch of the C ...

as an undergraduate, where his father was a professor. As a devout

Quaker Quakers are people who belong to the Religious Society of Friends, a historically Protestant Christian set of denominations. Members refer to each other as Friends after in the Bible, and originally, others referred to them as Quakers ...

, he was a

conscientious objector A conscientious objector is an "individual who has claimed the right to refuse to perform military service" on the grounds of freedom of conscience or religion. The term has also been extended to objecting to working for the military–indu ...

during

World War II World War II or the Second World War (1 September 1939 – 2 September 1945) was a World war, global conflict between two coalitions: the Allies of World War II, Allies and the Axis powers. World War II by country, Nearly all of the wo ...

. He obtained his PhD at

Caltech The California Institute of Technology (branded as Caltech) is a private university, private research university in Pasadena, California, United States. The university is responsible for many modern scientific advancements and is among a small g ...

in 1946 under the direction of Aristotle Demetrius Michal. He spent a year as a Benjamin Peirce Fellow at

Harvard Harvard University is a private Ivy League research university in Cambridge, Massachusetts, United States. Founded in 1636 and named for its first benefactor, the Puritan clergyman John Harvard, it is the oldest institution of higher lear ...

and joined the faculty at

UC Berkeley The University of California, Berkeley (UC Berkeley, Berkeley, Cal, or California), is a public land-grant research university in Berkeley, California, United States. Founded in 1868 and named after the Anglo-Irish philosopher George Berkele ...

. In 1950, during the loyalty oath controversy, James refused to sign the oath and moved to

Haverford College Haverford College ( ) is a private university, private Liberal arts colleges in the United States, liberal arts college in Haverford, Pennsylvania, United States. It was founded as a men's college in 1833 by members of the Religious Society of Fr ...

. Later he was the founding math department chair both at

Harvey Mudd College Harvey Mudd College (HMC) is a private liberal arts college in Claremont, California, focused on science and engineering. It is part of the Claremont Colleges, which share adjoining campus grounds and resources. The college enrolled 902 undergra ...

and at the

Claremont Graduate University The Claremont Graduate University (CGU) is a private, all-graduate research university in Claremont, California, United States. Founded in 1925, CGU is a member of the Claremont Colleges consortium which includes five undergraduate and two grad ...

. James constructed a number of counterexamples in the theory of

Banach space In mathematics, more specifically in functional analysis, a Banach space (, ) is a complete normed vector space. Thus, a Banach space is a vector space with a metric that allows the computation of vector length and distance between vectors and ...

s, including

James' space In the area of mathematics known as 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 pr ...

and James' tree space. He also characterized reflexivity for Banach spaces with an unconditional Schauder basis and proved an eponymous compactness criterion. With his father (a professor at

and long-time editor of

Mathematics Magazine ''Mathematics Magazine'' is a refereed bimonthly publication of the Mathematical Association of America. Its intended audience is teachers of collegiate mathematics, especially at the junior/senior level, and their students. It is explicitly a j ...

) he published a mathematical dictionary which went through several editions. James was made a

Fellow of the American Association for the Advancement of Science Fellowship of the American Association for the Advancement of Science (FAAAS) is an honor accorded by the American Association for the Advancement of Science (AAAS) to distinguished persons who are members of the Association. Fellows are elected ...

in 1978.

Selected works

* * * *

References

{{DEFAULTSORT:James, Robert C. Functional analysts 20th-century American mathematicians 1918 births 2004 deaths Fellows of the American Association for the Advancement of Science University of California, Los Angeles alumni California Institute of Technology alumni Harvey Mudd College faculty 20th-century Quakers American Quakers