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. ^ a b "Hidegoro Nakano (1909â"1974) â" on the centenary of his birth 1 ..." moam.info. Retrieved 2022-06-22.
  4. ^ a b "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.
Allikas: Https://en.wikipedia.org/wiki/Hidegor%C5%8D_Nakano
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