Representations of a compact group on a Banach space

Kôji SHIGA

doi:10.2969/jmsj/00730224

Kôji SHIGA

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JOURNAL FREE ACCESS

1955 Volume 7 Issue 3 Pages 224-248

DOI https://doi.org/10.2969/jmsj/00730224

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Published: 1955 Received: January 14, 1955 Available on J-STAGE: August 29, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: August 29, 2006 Reason for correction: - Correction: AUTHOR Details: Wrong : Koji SHIGA¹⁾
Right : Kôji SHIGA¹⁾

Date of correction: August 29, 2006 Reason for correction: - Correction: CITATION Details: Right : [1] R. Godement, Les fonctions de type positif et la théorie des groupes, Trans. Am. Math. Soc. 63 (1948), 1-84.
[2] R. Godement, Sur la théorie des représentations unitaires, Ann. Math. 53 (1951), 68-124.
[3] E. Hille, Functional analysis and semi-groups, New York (1948).
[4] E. Hopf, Ergodentheorie, Berlin (1947).
[5] A. Hurevitsch, Unitary representations in Hilbert space of a compact group, Rec. Math. 13 [55] (1943), 79-86.
[6] S. Itô, On irreducible unitary representations of a compact group and an abelian group (in Japanese), Sugaku 5 (1954), 226-228.
[7] I. Kaplansky, Primary ideals in group algebras, Proc. Nat. Acad. Sci. U. S. A. 35 (1949), 133-136.
[8] S. Murakami, On unitary representations of compact groups, Kodai Math. Sem. Rep. 3 (1951), 15-18.
[9] J. v. Neumann, Reduction theory, Ann. Math. 50 (1949), 401-485.
[10] F. Peter and H. Weyl, Die Vollständigkeit der primitiven Darstellungen einer geschlossen kontinuierlichen Gruppe. Math. Ann. 17 (1927), 737-755.
[11] B. J. Pettis, On integration in vector spaces, Trans. Am. Math. Soc. 44 (1938), 277-304.
[12] I. E. Segal, Decompositions of operator algebras I., Memoirs Am. Math. Soc. (1951).
[13] A. Weil, L'intégration dans les groupes topolgiques et ses applications, Act. Sci. Ind., Paris (1940).
[14] E. Wigner, On unitary representations of the inhomogeneous Lorenz group, Ann. Math. 40 (1939), 149-204.

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