# Mathematician:Marshall Harvey Stone

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## 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'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 ($\text {1815}$ – $\text {1897}$)