Characterizations of commutativity for C*-algebras
Glasgow mathematical journal, Tome 15 (1974) no. 2, pp. 172-175

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Let be a C*-algebra acting on the Hilbert space H and let be the self-adjoint elements of . The following characterization of commutativity is due to I. Kaplansky (see Dixmier [3, p. 58]).
Crabb, M. J.; Duncan, J.; McGregor, C. M. Characterizations of commutativity for C*-algebras. Glasgow mathematical journal, Tome 15 (1974) no. 2, pp. 172-175. doi: 10.1017/S0017089500002378
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[1] 1.Bonsall, F. F. and Duncan, J., Numerical ranges of operators on normed spaces and of elements of normed algebras, London Math. Soc. Lecture Notes Series No. 2, 1971. Google Scholar | DOI

[2] 2.Bouldin, R., The numerical range of a product, II, J. Math. Anal. Appl. 33 (1971), 212–219. Google Scholar | DOI

[3] 3.Dixmier, J., Les C*-algèbres et leurs représentations, 2me edition (Paris, 1969). Google Scholar

[4] 4.Fukamiya, M., Misonou, M. and Takeda, Z., On order and commutativity of B*-algebras, Tôhoku Math. J. (2) 6 (1954), 89–93. Google Scholar | DOI

[5] 5.Ogasawara, T., A theorem on operator algebras, J. Sci. Hiroshima Univ. Ser. A. 18 (1955), 307–309. Google Scholar

[6] 6.Sherman, S., Order in operator algebras, Amer. J. Math. 73 (1951), 227–232. Google Scholar

[7] 7.Taylor, D. C., The strict topology for double centralizer algebras, Trans. Amer. Math. Soc. 150 (1970), 633–643. Google Scholar | DOI

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