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We prove a theorem which is a generalisation of a theorem due to Goullet de Rugy: LetE be a locally convex vector lattice such that the structure spaces of the principal ideals ofE are universally measurable in their Stone-Čech-compactifications respectively. Then, ifE is infrabarrelled or its...
In this note we will prove a theorem on Toeplitz operators on odd spheres, using the recent result of Rudin [3, Th. 2.3] concerning space of typeH∞+C. This theorem is a generalization of the analogous fact for Toeplitz operators on the unit circle, proved by Douglas [2, Th. 7.29].
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