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, ...

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 (e.g. inner product, norm, topology, etc.) and the linear functions defined ...

Biography

James attended

UCLA The University of California, Los Angeles (UCLA) is a public university, public Land-grant university, land-grant research university in Los Angeles, California. UCLA's academic roots were established in 1881 as a Normal school, teachers colle ...

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

Quaker Quakers are people who belong to a historically Protestant Christian set of Christian denomination, denominations known formally as the Religious Society of Friends. Members of these movements ("theFriends") are generally united by a belie ...

, he was a

conscientious objector A conscientious objector (often shortened to conchie) is an "individual who has claimed the right to refuse to perform military service" on the grounds of freedom of thought, conscience, or religion. The term has also been extended to obje ...

during

World War II World War II or the Second World War, often abbreviated as WWII or WW2, was a world war that lasted from 1939 to 1945. It involved the World War II by country, vast majority of the world's countries—including all of the great power ...

. He obtained his PhD at

Caltech The California Institute of Technology (branded as Caltech or CIT)The university itself only spells its short form as "Caltech"; the institution considers other spellings such a"Cal Tech" and "CalTech" incorrect. The institute is also occasional ...

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

UC Berkeley The University of California, Berkeley (UC Berkeley, Berkeley, Cal, or California) is a public university, public land-grant university, land-grant research university in Berkeley, California. Established in 1868 as the University of Californi ...

. In 1950, during the loyalty oath controversy, James refused to sign the oath and moved to Haverford College. Later he was the founding math department chair both at

Harvey Mudd College Harvey Mudd College (HMC) is a private 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 enrolls 902 undergraduate students ...

and at the

Claremont Graduate University The Claremont Graduate University (CGU) is a private, all-graduate research university in Claremont, California. Founded in 1925, CGU is a member of the Claremont Colleges which includes five undergraduate (Pomona College, Claremont McKenna C ...

. James constructed a number of counterexamples in the theory of

Banach space In mathematics, more specifically in functional analysis, a Banach space (pronounced ) 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 ve ...

s, including

James' space In the area of mathematics known as functional analysis, James' space is an important example in the theory of Banach spaces and commonly serves as useful counterexample to general statements concerning the structure of general Banach spaces. The s ...

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 ...

) 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