Abstract
In this chapter we shall study the algebra M(G) of all regular Borel measures on the locally compact abelian group G, with particular emphasis on the maximal ideal space ΔM(G) of M(G). We shall sometimes write Δ, Δ o , ∂, ∂ o , Σ, and Σ o , for ΔM(G), ΔM o (G), ∂M(G), ∂M o (G), ΣM(G), and ΣM o (G). We remind the reader that Δ o ⊇ Δ and ∂ o ⊇ ∂, because M o (G) is an ideal in M(G).
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© 1979 Springer-Verlag New York Inc.
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Graham, C.C., McGehee, O.C. (1979). The Šilov Boundary, Symmetric Ideals, and Gleason Parts of ΔM(G). In: Essays in Commutative Harmonic Analysis. Grundlehren der mathematischen Wissenschaften, vol 238. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-9976-9_8
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DOI: https://doi.org/10.1007/978-1-4612-9976-9_8
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-9978-3
Online ISBN: 978-1-4612-9976-9
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