The Riemann sphere of a commutative Banach algebra

The Riemann sphere of a commutative Banach algebra
HTML articles powered by AMS MathViewer

Trans. Amer. Math. Soc. 134 (1968), 1-28

DOI: https://doi.org/10.1090/S0002-9947-1968-0227776-7

PDF | Request permission

References

E. K. Blum, A theory of analytic functions in Banach algebras, Trans. Amer. Math. Soc. 78 (1955), 343–370. MR 69405, DOI 10.1090/S0002-9947-1955-0069405-2
N. G. de Bruijn, Function theory in Banach algebras, Ann. Acad. Sci. Fenn. Ser. A I 250/5 (1958), 13. MR 0096982
Nicolaas Govert de Bruijn, Verallgemeinerte Riemannsche Sphären, Nachr. Akad. Wiss. Göttingen Math.-Phys. Kl. II 1959 (1959), 279–292 (German). MR 139023

Contributions to the theory of holomorphic functions in commutative Banach algebras with identity

Einar Hille and Ralph S. Phillips, Functional analysis and semi-groups, American Mathematical Society Colloquium Publications, Vol. 31, American Mathematical Society, Providence, R.I., 1957. rev. ed. MR 0089373
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
E. R. Lorch, Normed rings—the first decade, Proceedings of the Symposium on Spectral Theory and Differential Problems, Oklahoma Agricultural and Mechanical College, Stillwater, Okla., 1951, pp. 249–258. MR 0042616
Charles E. Rickart, General theory of Banach algebras, The University Series in Higher Mathematics, D. Van Nostrand Co., Inc., Princeton, N.J.-Toronto-London-New York, 1960. MR 0115101
Stanisław Saks and Antoni Zygmund, Analytic functions, Monografie Matematyczne, Tom XXVIII, Polskie Towarzystwo Matematyczne, Warszawa-Wroclaw, 1952. Translated by E. J. Scott. MR 0055432
Angus E. Taylor, Spectral theory of closed distributive operators, Acta Math. 84 (1951), 189–224. MR 40582, DOI 10.1007/BF02414854