Mathematician:Richard Friederich Arens

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Mathematician

German-born American mathematician who worked in the fields of functional analysis and topology.


Nationality

German, then American


History

  • Born: 24 April 1919, Weimar Republic (Germany)
  • 1925: Emigrated to USA
  • 1945: Received Ph.D. from Harvard
  • 1965 - 1979: Served on the editorial board of the Pacific Journal of Mathematics
  • Died: 3 May 2000


Theorems and Definitions

Results named for Richard Friederich Arens can be found here.

Definitions of concepts named for Richard Friederich Arens can be found here.


Publications

  • 1946: A topology for spaces of transformations (Ann. Math. Vol. 47: pp. 480 – 495)
    Mathematical Reviews (MathSciNet): MR8:165e
    Zentralblatt MATH: 0060.39704
  • 1946: The space L and convex topoogical rings (Bull. Amer. Math. Soc Vol. 52: pp. 931 – 935)
    Mathematical Reviews (MathSciNet): MR8:165d
    Zentralblatt MATH: 0060.26901
  • 1947: Linear topological division algebras (Bull. Amer. Math. Soc Vol. 53: pp. 623 – 630)
    Mathematical Reviews (MathSciNet): MR9:6a
    Zentralblatt MATH: 0031.25103
  • 1947: Representation of *-algebras (Duke Math. J. Vol. 14: pp. 269 – 282)
    Mathematical Reviews (MathSciNet): MR9:44b
  • 1949: Approximation in, and representation of, certain Banach algebras (Amer. J. Math. Vol. 71: pp. 763 – 790)
    Mathematical Reviews (MathSciNet): MR11:372g
    Zentralblatt MATH: 0034.21701
  • 1950: Note on convergence in topology (Math. Mag. Vol. 23: pp. 229 – 234) (in which the definition of Arens-Fort Space is presented)
    Mathematical Reviews (MathSciNet): MR12:271h
    Zentralblatt MATH: 0041.31502