Proceedings of the Japan Academy

Convergence concepts in semi-ordered linear spaces, I

Hidegorô Nakano and Masahumi Sasaki

Full-text: Open access

Article information

Source
Proc. Japan Acad., Volume 35, Number 1 (1959), 25-30.

Dates
First available in Project Euclid: 20 November 2007

Permanent link to this document
https://projecteuclid.org/euclid.pja/1195524457

Digital Object Identifier
doi:10.3792/pja/1195524457

Mathematical Reviews number (MathSciNet)
MR0109285

Zentralblatt MATH identifier
0086.09103

Citation

Nakano, Hidegorô; Sasaki, Masahumi. Convergence concepts in semi-ordered linear spaces, I. Proc. Japan Acad. 35 (1959), no. 1, 25--30. doi:10.3792/pja/1195524457. https://projecteuclid.org/euclid.pja/1195524457


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References

  • [1] L. Kantorovitch: Lineare halbgeordnete RSume, Math. Sbornik, 2(44), 121-168 (1937).
  • [2] H. Nakano: Teilweise geordnete Algebra, Jap. Jour. Math., 17, 485-511 (1941).
  • [3] H. Nakano: Ergodic theorems in semi-ordered linear spaces, Ann. Math., 49, 538-556 (1948).
  • [4] H. Nakano: Modulared Semi-ordered Linear Spaces, Tokyo (1950).
  • [5] H. Nakano: Modern Spectral Theory, Tokyo (1950).