Mathematician:Marshall Harvey Stone

Mathematician

American mathematician who contributed to real analysis, functional analysis, and the study of boolean algebras.

Nationality

American

History

• Born: 8 April 1903, New York, USA
• Died: 9 Jan 1989, Madras, India

Theorems and Definitions

• Stone Space

• Stone's Representation Theorem for Boolean Algebras
• Stone's Theorem on one-parameter unitary groups

• Glivenko-Stone Theorem (with Valery Ivanovich Glivenko)
• Kochen-Stone Theorem (with Simon Bernhard Kochen)

• Stone-Čech Compactification Theory (with Eduard Čech)
• Stone-von Neumann Uniqueness Theorem (with John von Neumann)
• Stone-Weierstrass Theorem (with Karl Weierstrass)

Results named for Marshall Harvey Stone can be found here.

Definitions of concepts named for Marshall Harvey Stone can be found here.

Publications

• 1924: An Unusual Type of Expansion Problem
• 1926: A Comparison of the Series of Fourier and Birkhoff
• 1926: Ordinary Linear Homogeneous Differential Equations of Order $n$ and the Related Expansion Problems
• 1926: Developments in Legendre Polynomials
• 1927: Developments in Hermite Polynomials
• 1930: Linear Transformations in Hilbert Space III : Operational Methods and Group Theory
• 1932: Linear Transformations in Hilbert Space and their Applications to Analysis
• 1934: Boolean Algebras and their Applications to Topology
• 1934: Subsumption of Boolean Algebras under the Theory of Rings
• 1956: Mathematics and the Future of Science (lecture)

Sources

• John J. O'Connor and Edmund F. Robertson: "Marshall Harvey Stone": MacTutor History of Mathematics archive

• 1992: George F. Simmons: Calculus Gems ... (previous) ... (next): Chapter $\text {A}.33$: Weierstrass ($\text {1815}$ – $\text {1897}$)