Richard Friedrich Arens
Encyclopedia
Richard Friederich Arens (24 April 1919 – 3 May 2000) was an American
mathematician
. He was born in Germany
but emigrated to the USA in 1925.
Arens received his Ph.D.
in 1945 from Harvard University
.
He worked in functional analysis
, and was a professor at UCLA for more than 40 years. He served on the editorial board of the Pacific Journal of Mathematics for 14 years 1965–1979. There are three topological space
s named for Arens in the book Counterexamples in Topology
, including Arens–Fort space.
United States
The United States of America is a federal constitutional republic comprising fifty states and a federal district...
mathematician
Mathematician
A mathematician is a person whose primary area of study is the field of mathematics. Mathematicians are concerned with quantity, structure, space, and change....
. He was born in Germany
Germany
Germany , officially the Federal Republic of Germany , is a federal parliamentary republic in Europe. The country consists of 16 states while the capital and largest city is Berlin. Germany covers an area of 357,021 km2 and has a largely temperate seasonal climate...
but emigrated to the USA in 1925.
Arens received his Ph.D.
Ph.D.
A Ph.D. is a Doctor of Philosophy, an academic degree.Ph.D. may also refer to:* Ph.D. , a 1980s British group*Piled Higher and Deeper, a web comic strip*PhD: Phantasy Degree, a Korean comic series* PhD Docbook renderer, an XML renderer...
in 1945 from Harvard University
Harvard University
Harvard University is a private Ivy League university located in Cambridge, Massachusetts, United States, established in 1636 by the Massachusetts legislature. Harvard is the oldest institution of higher learning in the United States and the first corporation chartered in the country...
.
He worked in functional analysis
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 and the linear operators acting upon these spaces and respecting these structures in a suitable sense...
, and was a professor at UCLA for more than 40 years. He served on the editorial board of the Pacific Journal of Mathematics for 14 years 1965–1979. There are three topological space
Topological space
Topological spaces are mathematical structures that allow the formal definition of concepts such as convergence, connectedness, and continuity. They appear in virtually every branch of modern mathematics and are a central unifying notion...
s named for Arens in the book Counterexamples in Topology
Counterexamples in Topology
Counterexamples in Topology is a book on mathematics by topologists Lynn Steen and J. Arthur Seebach, Jr.In the process of working on problems like the metrization problem, topologists have defined a wide variety of topological properties...
, including Arens–Fort space.
External links
- Obituary (PDF) from the Pacific Journal of MathematicsPacific Journal of MathematicsThe Pacific Journal of Mathematics is a mathematics research journal supported by a number of American, Asian and Australian universities and research institutes, and currently published on their behalf by Mathematical Sciences Publishers, a non-profit academic publishing organisation.It was...