• [I] Albert, A. A., Structure of algebras, Amer. Math. Soc. Colloquium Publications, vol. 24, 1939.
• [II] Banach, S., Théorie des opérations linéaires, Warsaw, 1932.
• [III] I. Gelfand, Normierte Ringe, Rec. Math. [Mat. Sbornik] N. S. 9 (51) (1941), 3–24 (German, with Russian summary). MR 0004726
• [IV] I. Gelfand and M. Neumark, On the imbedding of normed rings into the ring of operators in Hilbert space, Rec. Math. [Mat. Sbornik] N.S. 12(54) (1943), 197–213 (English, with Russian summary). MR 0009426
• [V] Gottfried Köthe, Abstrakte Theorie nichtkommutativer Ringe mit einer Anwendung auf die Darstellungstheorie kontinuierlicher Gruppen, Math. Ann. 103 (1930), no. 1, 545–572 (German). MR 1512637, https://doi.org/10.1007/BF01455710
• [VI] F. J. Murray and J. Von Neumann, On rings of operators, Ann. of Math. (2) 37 (1936), no. 1, 116–229. MR 1503275, https://doi.org/10.2307/1968693
• [VII] Riesz, F., Über die linearen Transformationen des komplexen Hilbertschen Raumes, Acta Univ. Szeged. vol. 5 (1930-1932) pp. 23-54.
• [VIII] I. E. Segal, The group ring of a locally compact group. I, Proc. Nat. Acad. Sci. U. S. A. 27 (1941), 348–352. MR 0004633
• [IX] -, Ring properties of certain classes of functions, Dissertation, Yale, 1940.
• [X] van der Waerden, B. L., Moderne Algebra, Berlin, 1931.
• [XI] Weil, A., L'Integration dans les groupes topologiques et ses applications, Actualités Scientifiques et Industrielles, No. 869, 1940.
• [XII] J. H. M. Wedderburn, Algebras which do not possess a finite basis, Trans. Amer. Math. Soc. 26 (1924), no. 4, 395–426. MR 1501287, https://doi.org/10.1090/S0002-9947-1924-1501287-1

Bibliography

[I]

Albert, A. A., Structure of algebras, Amer. Math. Soc. Colloquium Publications, vol. 24, 1939.

[II]

Banach, S., Théorie des opérations linéaires, Warsaw, 1932.

[III]

Gelfand, I., Normierte Ringe, Rec. Math. (Mat. Sbornik) N.S. vol. 9 (1941) pp. 3-24. MR 0004726 (3:51f)

[IV]

Gelfand, I., and Neumark, M., On the imbedding of normed rings into the ring of operators in Hilbert space, Rec. Math. (Mat. Sbornik) N.S. vol. 12 (1943) pp. 197-213. MR 0009426 (5:147d)

[V]

Kothe, G., Abstrakte Theorie nichtkommutativer Ringe mit einer Anwendung auf die Darstellbarkeit kontinuierlicher Gruppen, Math. Ann. vol. 103 (1930) pp. 545-565. MR 1512637

[VI]

Murray, F. J., and von Neumann, J., On rings of Operators, Ann. of Math. vol. 37 (1936) pp. 116-229. MR 1503275

[VII]

Riesz, F., Über die linearen Transformationen des komplexen Hilbertschen Raumes, Acta Univ. Szeged. vol. 5 (1930-1932) pp. 23-54.

[VIII]

Segal, I. E., The group ring of a locally compact group. I., Proc. Nat. Acad. Sci. vol. 27 (1941) pp. 348-352. MR 0004633 (3:36b)

[IX]

-, Ring properties of certain classes of functions, Dissertation, Yale, 1940.

[X]

van der Waerden, B. L., Moderne Algebra, Berlin, 1931.

[XI]

Weil, A., L'Integration dans les groupes topologiques et ses applications, Actualités Scientifiques et Industrielles, No. 869, 1940.

[XII]

Wedderburn, J. H. M., Algebras which do not possess a finite basis, Trans. Amer. Math. Soc. vol. 26 (1924) pp. 395-426. MR 1501287