On the Lebesgue decomposition of positive linear functionals

Szũcs, Zsolt

doi:10.1090/S0002-9939-2012-11354-1

On the Lebesgue decomposition of positive linear functionals
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Proc. Amer. Math. Soc. 141 (2013), 619-623 Request permission

Abstract:

In this paper we will prove that the Lebesgue decomposition of positive linear functionals on Banach $^*$-algebras corresponds with the Lebesgue decomposition of the nonnegative forms derived from the functionals.

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