Related Research Articles
Richard Ewen Borcherds is a British mathematician currently working in quantum field theory. He is known for his work in lattices, group theory, and infinite-dimensional algebras, for which he was awarded the Fields Medal in 1998. He is well known for his proof of monstrous moonshine using ideas from string theory.
In mathematics, an element of a *-algebra is called self-adjoint if it is the same as its adjoint.
Raoul Bott was a Hungarian-American mathematician known for numerous foundational contributions to geometry in its broad sense. He is best known for his Bott periodicity theorem, the Morse–Bott functions which he used in this context, and the Borel–Bott–Weil theorem.
In functional analysis, a branch of mathematics, nest algebras are a class of operator algebras that generalise the upper-triangular matrix algebras to a Hilbert space context. They were introduced by Ringrose and have many interesting properties. They are non-selfadjoint algebras, are closed in the weak operator topology and are reflexive.
George Lusztig is a Romanian-born American mathematician and Abdun Nur Professor at the Massachusetts Institute of Technology (MIT). He was a Norbert Wiener Professor in the Department of Mathematics from 1999 to 2009.
Robert Louis Griess, Jr. is a mathematician working on finite simple groups and vertex algebras. He is currently the John Griggs Thompson Distinguished University Professor of mathematics at University of Michigan.
James Gilbert Glimm is an American mathematician, former president of the American Mathematical Society, and distinguished professor at Stony Brook University. He has made many contributions in the areas of pure and applied mathematics.
Mudumbai Seshachalu NarasimhanFRS was an Indian mathematician. His focus areas included number theory, algebraic geometry, representation theory, and partial differential equations. He was a pioneer in the study of moduli spaces of holomorphic vector bundles on projective varieties. His work is considered the foundation for Kobayashi–Hitchin correspondence that links differential geometry and algebraic geometry of vector bundles over complex manifolds. He was also known for his collaboration with mathematician C. S. Seshadri, for their proof of the Narasimhan–Seshadri theorem which proved the necessary conditions for stable vector bundles on a Riemann surface.
Lloyd Nicholas Trefethen is an American mathematician, professor of numerical analysis and head of the Numerical Analysis Group at the Mathematical Institute, University of Oxford.
Graduate Studies in Mathematics (GSM) is a series of graduate-level textbooks in mathematics published by the American Mathematical Society (AMS). The books in this series are published in hardcover and e-book formats.
Edmund Frederick Robertson is a professor emeritus of pure mathematics at the University of St Andrews.
In mathematics, an element of a *-algebra is called unitary if it is invertible and its inverse element is the same as its adjoint element.
Richard Vincent Kadison was an American mathematician known for his contributions to the study of operator algebras.
Gilles I. Pisier is a professor of mathematics at the Pierre and Marie Curie University and a distinguished professor and A.G. and M.E. Owen Chair of Mathematics at the Texas A&M University. He is known for his contributions to several fields of mathematics, including functional analysis, probability theory, harmonic analysis, and operator theory. He has also made fundamental contributions to the theory of C*-algebras. Gilles is the younger brother of French actress Marie-France Pisier.
Christopher Derek Hacon is a mathematician with British, Italian and US nationalities. He is currently distinguished professor of mathematics at the University of Utah where he holds a Presidential Endowed Chair. His research interests include algebraic geometry.
A Schröder–Bernstein property is any mathematical property that matches the following pattern:
George Arthur Elliott is a Canadian mathematician specializing in operator algebras, K-theory, and non-commutative geometry. He is a professor at the University of Toronto Department of Mathematics, and holds a Canada Research Chair. He is best known for his work on classifying C*-algebras, both for initiating their classification and highlighting the importance of K-theory in this respect.
In mathematics, Kadison transitivity theorem is a result in the theory of C*-algebras that, in effect, asserts the equivalence of the notions of topological irreducibility and algebraic irreducibility of representations of C*-algebras. It implies that, for irreducible representations of C*-algebras, the only non-zero linear invariant subspace is the whole space.
In mathematics, Pisier–Ringrose inequality is an inequality in the theory of C*-algebras which was proved by Gilles Pisier in 1978 affirming a conjecture of John Ringrose. It is an extension of the Grothendieck inequality.
Fundamentals of the Theory of Operator Algebras is a four-volume textbook on the classical theory of operator algebras written by Richard Kadison and John Ringrose. The first two volumes, published in 1983 and 1986, are entitled (I) Elementary Theory and (II) Advanced Theory; the latter two volumes, published in 1991 and 1992, present complete solutions to the exercises in volumes I and II.
References
- O'Connor, John J.; Robertson, Edmund F., "John Robert Ringrose", MacTutor History of Mathematics Archive , University of St Andrews
- John Robert Ringrose at the Mathematics Genealogy Project
| International | |
|---|---|
| National | |
| Academics | |
| Other | |
 | This article about a United Kingdom mathematician is a stub. You can help Wikipedia by expanding it. |