Hidegorō Nakano

Hidegorō Nakano
Born	16 May 1909 Tokyo
Died	11 March 1974 (aged 64) Detroit, Michigan, US
Nationality	Japanese
Alma mater	National First High School, Imperial University of Tokyo
Known for	Nakano Spaces, mathematical analysis, functional analysis, set theory, lattice theory
Spouse	Sumiko Yamamura
Children	2
Scientific career
Fields	Mathematics
Institutions	National First High School, Imperial University of Tokyo, Hokkaido University, Queen's University, Wayne State University
Doctoral advisor	Takuji Yoshie

Hidegorō Nakano (Japanese: 中野 秀五郎; 16 May 1909 – 11 March 1974) is a Japanese mathematician,^[1] after whom Nakano Spaces are named.^[2]

Life

Nakano was born as the first son of Katsugoro Nakano and Kame Nakano, in Tokyo. After graduating from National First High School, a preparatory school for the Imperial University of Tokyo, he progressed to study mathematics in Tokyo Imperial University and graduated with a Bachelor of Science in 1933. Then he entered Graduate School at the same university under the supervision of Takuji Yoshie, and attained his doctoral degree in 1935. At that time, a doctorate was more commonly awarded to people over 50 years old.^[3]

Nakano started teaching in The National First High School in 1935. At the same year he married Sumiko Yamamura (11 December 1913, Tokyo - 5 March 1999, Detroit). Then he held academic positions (1938-1952) in Tokyo Imperial University, before moving to Hokkaido University and being appointed as a professor.^[4]

In 1960, he left Japan and took a visit to Queen's University in Canada for a year, under the invitation of Canadian Mathematical Congress. He then took up professorship in Wayne State University, Detroit, US, in 1961, and continued working there until his death in 1974.^[4]

Works

Nakano's name in mathematics

Nakano is known for his research in Functional Analysis,^{[5][original research?]} especially in vector lattice and operator theory in Hilbert spaces. He mainly made his name in his contribution to several mathematical subjects around modulars, Riesz spaces, Orlicz-Nakano spaces and Nakano space.^[3]

List of books with name translated from Japanese

Source^[6]

• From Riemann integral to Lebesgue integral (1940)
• Hilbert Space Theory (1946)
• Classical Integration Theory (1949)
• Measure Theory (1950)
• Banach Space Theory (1953)
• Set Theory (1955)
• Real Number Theory (1956)
• How to teach mathematics (1956)
• Problems in Mathematics (1956).

List of books in English

Source^[7]

• Modern Spectral Theory (1950)
• Modulared Semi-Ordered Linear Spaces (1950)
• Topology of linear topological spaces (1951)
• Spectral theory in the Hilbert space (1953)
• Semi-ordered linear spaces (1955)
• Linear lattices (1966)
• Uniform spaces and transformation groups (1968)

References

1. "Hidegoro Nakano". Wikidata. Retrieved 2022-06-21.^{[user-generated source]}
2. Yamamuro, Sadayuki. "ON CONJUGATE SPACES OF NAKANO SPACES" (PDF). American Mathematical Society. Retrieved July 10, 2023.
3. "Hidegoro Nakano (1909â"1974) â" on the centenary of his birth 1 ..." moam.info. Retrieved 2022-06-22.
4. "Hidegorō Nakano - Biography". Maths History. Retrieved 2022-06-20.
5. "MR: Nakano, Hidegorō - 506533". MathSciNet. Retrieved 2022-06-21.
6. "中野 秀五郎 - Webcat Plus". webcatplus.nii.ac.jp. Retrieved 2022-06-21.
7. "Hidegorō Nakano's Books". Maths History. Retrieved 2022-06-21.