Mathematician:Israel Moiseevich Gelfand

Mathematician

Ukrainian mathematician who contributed considerably to many branches of mathematics, including group theory, representation theory and linear algebra.

Did much good work in the field of education.

Not to be confused with Alexander Gelfond.

Wolf Prize

Israel Moiseevich Gelfand was awarded a Wolf Prize for Mathematics in $\text {1978}$:

For his work in functional analysis, group representation, and for his seminal contributions to many areas of mathematics and its applications.

Nationality

Ukrainian / Soviet / Russian

History

• Born: 2 September 1913, Okny, Ukraine (then part of the Russian Empire, now Krasniye Okny, in Kherson Oblast, Ukraine)
• Died: 5 October 2009, Highland Park, New Jersey, USA

Theorems and Definitions

• Gelfand Representation in Banach algebra theory
• Gelfand-Mazur Theorem in Banach algebra theory (with Stanisław Meiczyslaw Mazur)
• Gelfand-Naimark Theorem (with Mark Aronovich Naimark)
• Gelfand-Naimark-Segal Construction (with Mark Aronovich Naimark and Irving Ezra Segal)
• Gelfand-Pettis Integral (with Billy James Pettis)
• Gelfand-Shilov Space (with Georgiy Evgen'evich Shilov)
• Gelfand-Fuks Cohomology of Foliations (with Dmitry Borisovich Fuchs)
• Gelfand-Dikii Equations
• Gelfand-Kirillov Dimension (with Alexandre Aleksandrovich Kirillov)
• Gelfand-Levitan Theory (with Boris Levitan)
• Gelfand-Tsetlin Patterns (with Michael Lvovitch Tsetlin)
• Gelfand-Tsetlin Basis (with Michael Lvovitch Tsetlin)
• Gelfand Pair
• Gelfand Triple

Results named for Israel Moiseevich Gelfand can be found here.

Definitions of concepts named for Israel Moiseevich Gelfand can be found here.

Publications

• 1935: Abstract functions and linear operators
• 1948: Lektsii po Lineinoi Algebre
  • 1950: Lektsii po Lineinoi Algebre, 2nd ed.
  • 1961: Lectures on Linear Algebra, 2nd ed. (translated into English by A. Shenitzer)

• 1962: Automorphic functions and the theory of representations
• 1963: Calculus of Variations (with S.V. Fomin) (translated into English by Richard A. Silverman)

Also known as

Variants of the transcription of his name can be seen, for example Israïl Moyseyovich Gel'fand.

Also rendered as:

• Yiddish: ישראל געלפֿאַנד
• Russian: Израиль Моисеевич Гельфанд
• Ukrainian: Ізраїль Мойсейович Гельфанд

Sources

• John J. O'Connor and Edmund F. Robertson: "Israel Moiseevich Gelfand": MacTutor History of Mathematics archive