Abstract
Recall from § 12 that a Banach star algebra is a complex Banach algebra A with an involution * satisfying, for all x, y∈A,α∈ℂ,
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(i)
(x+y)*=x* + y*
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(ii)
(αx)*=α* x*
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(iii)
x**=x
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(iv)
(xy)* =y* x*.
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© 1973 Springer-Verlag Berlin Heidelberg
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Bonsall, F.F., Duncan, J. (1973). Star Algebras. In: Complete Normed Algebras. Ergebnisse der Mathematik und ihrer Grenzgebiete, vol 80. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-65669-9_5
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DOI: https://doi.org/10.1007/978-3-642-65669-9_5
Publisher Name: Springer, Berlin, Heidelberg
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