The Measure Algebra as an Operator Algebra
Canadian journal of mathematics, Tome 20 (1968) no. 1, pp. 1391-1396

Voir la notice de l'article provenant de la source Cambridge University Press

In § I, it is shown that M(G)*, the space of bounded linear functionals on M(G), can be represented as a semigroup of bounded operators on M(G).Let △ denote the non-zero multiplicative linear functionals on M(G) and let P be the norm closed linear span of △ in M(G)*. In § II, it is shown that P, with the Arens multiplication, is a commutative B*-algebra with identity. Thus P = C(B), where B is a compact, Hausdorff space.
Ramirez, Donald E. The Measure Algebra as an Operator Algebra. Canadian journal of mathematics, Tome 20 (1968) no. 1, pp. 1391-1396. doi: 10.4153/CJM-1968-140-4
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