Georgiy Shilov

Georgi Jewgenjewitsch Shilov (Russian Георгий Евгеньевич Шилов, in English transcription: Georgiy Shilov Evgenievich; born February 3, 1917 in Ivanovo, † January 17, 1975 in Moscow) was a Russian mathematician.

Georgi Shilov ended 1938, the Mathematics Department of Moscow State University in Moscow ( MGU ). After participation in the Second World War, he continued his studies at the Moscow State University and in 1951 received his doctorate under Israel Gelfand and appointed the following year as a professor. From 1951 to 1954 Shilov worked at the Taras Shevchenko University in Kiev, but then returned back to the MGU.

Shilov worked in the functional analysis, especially in the field of commutative Banach algebras, where he founded the holomorphic functional calculus of several variables. Together with Gelfand, he conducted research in the theory of generalized functions and the theory of partial differential equations. Shilov wrote some widely used textbooks that today are considered classics and have also been published outside Russia. He also dealt with the history and methodology of mathematics.

The Schilowsche Idempotentensatz and the term of the Shilov - edge are connected with his name.

Writings

• Elementary functional analysis, MIT Press 1974
• Elementary real and complex analysis, Dover 1996
• Linear Algebra, Dover 1977
• Mathematical Analysis, MIT Press 1973
• Generalized functions and partial differential equations, Gordon and Breach 1968
• Introduction to the theory of linear spaces, Dover 1974
• With Gelfand: Generalized Functions, 5 volumes, Academic Press 1964-1968 ( German Edition Berlin, 1960 )
• With Gurevich: Integral, measure and derivative: a unified approach, Englewood Cliffs 1966
• With Gelfand, Raikov: Commutative normed algebras, Berlin, 1964 ( English: Commutative normed rings, AMS 2003)
• Calculus of rational functions, MIR, Moscow, 1976 ( English)