A theory of analytic functions in Banach algebras

A theory of analytic functions in Banach algebras
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by E. K. Blum

Trans. Amer. Math. Soc. 78 (1955), 343-370

DOI: https://doi.org/10.1090/S0002-9947-1955-0069405-2

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References

Edgar R. Lorch, The theory of analytic functions in normed Abelian vector rings, Trans. Amer. Math. Soc. 54 (1943), 414–425. MR 9090, DOI 10.1090/S0002-9947-1943-0009090-0
Edgar R. Lorch, The structure of normed Abelian rings, Bull. Amer. Math. Soc. 50 (1944), 447–463. MR 10780, DOI 10.1090/S0002-9904-1944-08141-X
I. Gelfand, Normierte Ringe, Rec. Math. [Mat. Sbornik] N.S. 9 (51) (1941), 3–24 (German, with Russian summary). MR 0004726
Einar Hille, Functional Analysis and Semi-Groups, American Mathematical Society Colloquium Publications, Vol. 31, American Mathematical Society, New York, 1948. MR 0025077
Nelson Dunford, Spectral theory, Bull. Amer. Math. Soc. 49 (1943), 637–651. MR 8643, DOI 10.1090/S0002-9904-1943-07965-7
Angus E. Taylor, Analysis in complex Banach spaces, Bull. Amer. Math. Soc. 49 (1943), 652–669. MR 8644, DOI 10.1090/S0002-9904-1943-07968-2

Einige analytische Untersuchungen in linearen metrischen Ringen

Sur les anneaux linéaires

I. Gelfand and G. Šilov, Über verschiedene Methoden der Einführung der Topologie in die Menge der maximalen Ideale eines normierten Ringes, Rec. Math. [Mat. Sbornik] N.S. 9 (51) (1941), 25–39 (German, with Russian summary). MR 0004729
C. E. Rickart, Banach algebras with an adjoint operation, Ann. of Math. (2) 47 (1946), 528–550. MR 17474, DOI 10.2307/1969091
C. E. Rickart, The singular elements of a Banach algebra, Duke Math. J. 14 (1947), 1063–1077. MR 23457
Edward K. Blum, The fundamental group of the principal component of a commutative Banach algebra, Proc. Amer. Math. Soc. 4 (1953), 397–400. MR 55585, DOI 10.1090/S0002-9939-1953-0055585-5