Joint mean oscillation and local ideals in the Toeplitz algebra

Xia, Jingbo

doi:10.1090/S0002-9939-99-05369-1

Joint mean oscillation and local ideals in the Toeplitz algebra
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Proc. Amer. Math. Soc. 128 (2000), 2033-2042 Request permission

Abstract:

We introduce the joint local mean oscillation LMO$(f,g)(\tau )$ and discuss to what extent this function-theoretical quantity serves as a $C^{\ast }$-alge- braic invariant in the full Toeplitz algebra ${\mathcal {T}} = {\mathcal {T}}(L^{\infty }).$

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