Skip to main content
SpringerLink
Log in

Years ago

  • Department
  • Published:
The Mathematical Intelligencer Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Abbreviations

MR:

Mathematical Reviews

ZBL:

Zentralblatt für Mathematik.

Doklady:

Doklady Akad. Nauk SSSR

Bibliography

  • W. Ambrose [1945], Structure theorems for a special class of Banach algebras,Trans. Amer. Math. Soc. 57, 364–386. MR 7, 126.

    Article  MathSciNet  MATH  Google Scholar 

  • R. S. Doran and V. A. Belfi [1986],Characterizations of C*-Algebras. The Gel’fand-Naïmark Theorems, Marcel Dekker, New York. MR 87k:46115.

    Google Scholar 

  • T. W. Gamelin [1969],Uniform algebras, Prentice Hall, Englewood Cliffs, N.J. MR 53 #14137.

    MATH  Google Scholar 

  • I. M. Gel’fand [1939], On normed rings,Doklady 23, 430–432.

    Google Scholar 

  • —.[1985] To the theory of normed rings. II. On absolutely convergent trigonometric series and integrals,Doklady 25, 570–572. MR 1, 330.

    Google Scholar 

  • —.[1985] To the theory of normed rings. III. On the ring of almost periodic functions,Doklady 25, 573–574. MR 1, 331.

    Google Scholar 

  • —. [1941], Normierte ringe,Mat. Sbornik 9 (51), 3–24. MR 3, 51.

    MATH  Google Scholar 

  • I. M. Gel’fand and A. N. Kolmogorov [1939], On rings of continuous functions on topological spaces,Doklady 22, 11–15.

    Google Scholar 

  • I. M. Gel’fand and M. A. Naimark [1943], On the embedding of normed rings into the ring of operators on Hilbert space,Matem. Sbornik 12, 197–213. MR 5, 147.

    Google Scholar 

  • —. [1948], Normed rings with involution and their representations,Izvest. Akad. Nauk, SSSR, Mat. 12, 445–480; (Russian). MR 10, 199.

    MathSciNet  MATH  Google Scholar 

  • I. M. Gel’fand, D. A. Raikov, and G. E. Šilov [1946], Commutative normed rings,Uspehi Matem. Nauk 1, no. 2 (12), 48–146; (Russian). MR 10, 258.

    MathSciNet  MATH  Google Scholar 

  • —. [1960],Commutative normed rings. Gos. Izdat. Fiz.-Mat. Lit., Moscow; (Russian). MR 23 #A1242.

    Google Scholar 

  • E. Hille [1944], On the theory of characters of groups and semi-groups in normed vector rings,Proc. Nat. Acad. Sci. USA 30, 58–60. MR 5, 189

    Article  Google Scholar 

  • B. E. Johnson [1967], The uniqueness of the (complete) norm topology,Bull. A.M.S. 73, 537–539. MR 35 #2142.

    Article  MATH  Google Scholar 

  • Mat XL [1959],Mathematics in the USSR for 40 years, 1917–1957, vol. II.

  • M. A. Naimark [1956],Normed rings, Gos. Izdat. Tekh.-Teor. Lit., Moscow; (Russian). MR 19, 870.

    MATH  Google Scholar 

  • T. Pytlik [1987], Analytic semigroups in Banach algebras and a theorem of Hille,Colloq. Math. 51, 287–294, MR 88h:47061.

    MathSciNet  MATH  Google Scholar 

  • H. Rossi [1960], The local maximum modulus principle,Ann. of Math. 72, 1–11. MR 22 #8317.

    Article  MathSciNet  MATH  Google Scholar 

  • G. E. Šilov [19401], Sur la théorie des idéaux dans les anneaux normés de fonctions,Doklady 27, 900–903. MR 2, 224.

    Google Scholar 

  • —. [19402], On the extension of maximal ideals,Doklady 29, 83–84. MR 2, 314.

    Google Scholar 

  • —. [1950], On a theorem of Gel’fand and its generalizations,Doklady 72, 641–644. MR 12, 111.

    Google Scholar 

  • —. [1953], On the decomposition of a commutative normed ring into the direct sum of ideals,Mat. Sbornik 32, 353–364; (Russian). MR 14, 884.

    MathSciNet  Google Scholar 

  • —. [1957], On certain problems in the general theory of commutative normed rings,Uspehi Mat. Nauk 12, no. 1, 246–249. MR 18, 912. Letter to the editor, ibid. 12, no. 5, 270. MR 19, 969.

    MathSciNet  Google Scholar 

  • M. H. Stone [1948], On a theorem of Pólya,J. Indian Math. Soc, N.S. 12, 1–7. MR 10, 308.

    MathSciNet  MATH  Google Scholar 

  • N. Wiener [1932], Tauberian theorems,Ann. of Math. (2) 33, 1–100. ZBL 4, 59.

    MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, University of Michigan, 48109-1003, Ann Arbor, MI, USA

    Allen Shields

Authors
  1. Allen Shields
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Shields, A. Years ago. The Mathematical Intelligencer 11, 15–17 (1989). https://doi.org/10.1007/BF03025184

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF03025184

Keywords

Search

Navigation