Geodesic
Square roots in Banach *-algebras
Glasgow mathematical journal, Tome 13 (1972) no. 1, p. 74

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We give a simple proof of the lemma of Ford [1] on the existence of self-adjoint square roots in Banach*-algebras in which continuity of the involution is not assumed. 
Bonsall, F. F.; Stirling, D. S. G. Square roots in Banach *-algebras. Glasgow mathematical journal, Tome 13 (1972) no. 1, p. 74. doi: 10.1017/S0017089500001403
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[1] 1.Ford, J. W. M., A square root lemma for Banach-algebras, J. London Math. Soc. 42 (1967), 521–522. Google Scholar

[2] 2.Holmes, R. B., A formula for the spectral radius of an operator, Amer. Math. Monthly 75 (1968), 163–166. Google Scholar

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