Structure of subalgebras between $L^{\infty }$ and $H^{\infty }$
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- by Sun Yung A. Chang PDF
- Trans. Amer. Math. Soc. 227 (1977), 319-332 Request permission
Abstract:
Let B be a closed subalgebra of ${L^\infty }$ of the unit circle which contains ${H^\infty }$ properly. Let ${C_B}$ be the ${C^\ast }$-algebra generated by the inner functions that are invertible in B. It is shown that the linear span ${H^\infty } + {C_B}$ is equal to B. Also, a closed subspace (called $VM{O_B}$) of BMO (space of functions of bounded mean oscillation) is identified to which B bears the same relation as ${L^\infty }$ does to BMO.References
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Additional Information
- © Copyright 1977 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 227 (1977), 319-332
- MSC: Primary 46J15; Secondary 30A98
- DOI: https://doi.org/10.1090/S0002-9947-1977-0433213-5
- MathSciNet review: 0433213