$H^{\infty }(R)+AP$ is closed
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- by Stephen Power PDF
- Proc. Amer. Math. Soc. 65 (1977), 73-76 Request permission
Abstract:
Let ${H^\infty }(R)$ be the space of functions on the real line R which are boundary functions of functions bounded and analytic in the upper half-plane and let AP denote the space of uniformly almost periodic functions on R. We show that ${H^\infty }(R) + AP$ is closed and is not an algebra.References
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Additional Information
- © Copyright 1977 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 65 (1977), 73-76
- MSC: Primary 46E15; Secondary 46J15
- DOI: https://doi.org/10.1090/S0002-9939-1977-0448047-0
- MathSciNet review: 0448047