Article PDF
Avoid common mistakes on your manuscript.
References
Arens, R., andKaplansky, I., Topological representation of algebras. Trans. Amer. Math. Soc.63, 457–481 (1948).
Arens, R., The problem of locally-A functions in a commutative Banach algebraA. Trans. Amer. Math. Soc.104, 24–36 (1962).
Aurora, S., On connected normed algebras whose norm satisfy a reality condition. Illinois J. Math.6, 488–499 (1962).
Blum, E. K., The fundamental group of the principal component of a commutative Banach algebra. Proc. Amer. Math. Soc.4, 397–400 (1953).
Boas, R. P., Jr., Entire Functions. Academic Press, New York, 1954.
Bohnenblust, H. F., andKarlin, S., Geometrical properties of the unit sphere of Banach algebras. Ann. of Math.62, 217–229 (1955)
Bourbaki, N., Topologie générale, Chap. I, Act. Sci. Ind. 1142, Paris, 1951.
Cairns, S. S., Introductory Topology. The Ronald Press Co., New York, 1961.
Civin, P., andYood, B., Involutions in Banach algebras. Pacific. J. Math.9, 415–436 (1959)
Dieudonné, J., Complex structure on real Banach spaces. Proc. Amer. Math. Soc.,3, 162–164 (1952).
Gelfand, I. M., Normierte Ringe. Mat. Sbornik9, 3–24 (1941).
Gelfand, I. M., andNaimark, M. A., On the embedding of normed rings into the ring of operators in Hilbert space. Mat. Sbornik12, 197–213 (1943).
Glimm, J. G., andKadison, R. V., Unitary operators inC *-algebras. Pacific. J. Mat.10, 547–556 (1960)
Hurewitz, W., andWallman, H., Dimension Theory. Princeton University Press, Princeton, 1948.
Ingelstam, L., A vertex property for Banach algebras with identity. Math. Scand.11, 22–32 (1962).
— Hilbert algebras with identity. Bull. Amer. Math. Soc.69, 794–796 (1963).
— Non-associative normed algebras and Hurwitz' problem, Ark. Mat.5, 231–238 (1964).
Jacobson, N., Structure of rings. Amer. Math. Soc. Coll. Publ. XXXVII, Providence, 1956.
Kadison, R. V., A representation theory for commutative topological algebra. Memoirs of Amer. Math. Soc. No. 7, New York, 1951.
Kaplansky, I., Normed algebras, Duke. Math. J.16, 399–418 (1949).
Lorch, E. R., The theory of analytic functions in normed abelian vector rings. Amer. Math. Soc.54, 414–425 (1943).
Lumer, G., andPhillips, R. S., Dissipative operators in a Banach space. Pacific. J. Math.11, 679–698 (1961).
Naimark, M. A., Normed Rings, Nordhoff, Groningen, 1959.
Rickart, C. E., General Theory of Banach Algebras. Van Nostrand, Princeton, 1960.
Royden, H. L., On the multiplicative groups of function algebras. Technical Report No. 18, Stanford University, 1960.
—, Function algebras, Bull. Amer. Math. Soc.69, 281–298 (1963).
Schatz, J. A., Review of paper by Fukamiya. Math. Reviews14, 884 (1952).
Schreier, O., Die Verwandschaft stetiger Gruppen im Grossen. Hambrug. Abh. Math Seminar5, 233–244 (1926).
Segal, I. E., Postulates for general quantum mechanics. Ann. of Math.48, 930–948 (1947).
Yood, B., Seminar on Banach algebras. University of California Notes, Berkeley, 1956–57
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Ingelstam, L. Real banach algebras. Ark. Mat. 5, 239–270 (1964). https://doi.org/10.1007/BF02591126
Issue Date:
DOI: https://doi.org/10.1007/BF02591126