Otton M. Nikodym
Encyclopedia
Otto Marcin Nikodým was a Polish
mathematician. He was educated at the Universities of Lwow and Warsaw
, and the Sorbonne
. Nikodym taught at the Universities of Kraków
and Warsaw and at the High Polytechnical School in Kraków. He came to the United States in 1948 to join the faculty of Kenyon College
. He retired in 1966 and moved to Utica, N.Y., where he continued his research. Nikodym died in 1974.
Nikodym worked in a wide range of areas, but his best-known early work was his contribution to the development of the Lebesgue–Radon–Nikodym integral (see Radon–Nikodym theorem
). His work in measure theory led him to an interest in abstract Boolean lattices. His work after coming to the United States centered in the theory of operators in Hilbert space
, based on Boolean lattices, culminating in his The Mathematical Apparatus for Quantum-Theories. He was also interested in mathematics teaching.
Poland
Poland , officially the Republic of Poland , is a country in Central Europe bordered by Germany to the west; the Czech Republic and Slovakia to the south; Ukraine, Belarus and Lithuania to the east; and the Baltic Sea and Kaliningrad Oblast, a Russian exclave, to the north...
mathematician. He was educated at the Universities of Lwow and Warsaw
Warsaw
Warsaw is the capital and largest city of Poland. It is located on the Vistula River, roughly from the Baltic Sea and from the Carpathian Mountains. Its population in 2010 was estimated at 1,716,855 residents with a greater metropolitan area of 2,631,902 residents, making Warsaw the 10th most...
, and the Sorbonne
Sorbonne
The Sorbonne is an edifice of the Latin Quarter, in Paris, France, which has been the historical house of the former University of Paris...
. Nikodym taught at the Universities of Kraków
Kraków
Kraków also Krakow, or Cracow , is the second largest and one of the oldest cities in Poland. Situated on the Vistula River in the Lesser Poland region, the city dates back to the 7th century. Kraków has traditionally been one of the leading centres of Polish academic, cultural, and artistic life...
and Warsaw and at the High Polytechnical School in Kraków. He came to the United States in 1948 to join the faculty of Kenyon College
Kenyon College
Kenyon College is a private liberal arts college in Gambier, Ohio, founded in 1824 by Bishop Philander Chase of The Episcopal Church, in parallel with the Bexley Hall seminary. It is the oldest private college in Ohio...
. He retired in 1966 and moved to Utica, N.Y., where he continued his research. Nikodym died in 1974.
Nikodym worked in a wide range of areas, but his best-known early work was his contribution to the development of the Lebesgue–Radon–Nikodym integral (see Radon–Nikodym theorem
Radon–Nikodym theorem
In mathematics, the Radon–Nikodym theorem is a result in measure theory that states that, given a measurable space , if a σ-finite measure ν on is absolutely continuous with respect to a σ-finite measure μ on , then there is a measurable function f on X and taking values in [0,∞), such that\nu =...
). His work in measure theory led him to an interest in abstract Boolean lattices. His work after coming to the United States centered in the theory of operators in Hilbert space
Hilbert space
The mathematical concept of a Hilbert space, named after David Hilbert, generalizes the notion of Euclidean space. It extends the methods of vector algebra and calculus from the two-dimensional Euclidean plane and three-dimensional space to spaces with any finite or infinite number of dimensions...
, based on Boolean lattices, culminating in his The Mathematical Apparatus for Quantum-Theories. He was also interested in mathematics teaching.
See also
- Nikodym setNikodym setIn mathematics, a Nikodym set is the seemingly paradoxical result of a construction in measure theory. A Nikodym set in the unit square S in the Euclidean plane E2 is a subset N of S such that* the area In mathematics, a Nikodym set is the seemingly paradoxical result of a construction in measure...
- Radon–Nikodym theoremRadon–Nikodym theoremIn mathematics, the Radon–Nikodym theorem is a result in measure theory that states that, given a measurable space , if a σ-finite measure ν on is absolutely continuous with respect to a σ-finite measure μ on , then there is a measurable function f on X and taking values in [0,∞), such that\nu =...
- Nikodym convergence theorem
- Nikodym–Grothendieck boundedness theorem
- Frechet–Nikodym metric space
- Radon–Nikodym property of a Banach space