Structure of subalgebras between l00 and h

Sun Yung A. Chang

doi:10.1090/S0002-9947-1977-0433213-5

Structure of subalgebras between l00 and h

Sun Yung A. Chang

Research output: Contribution to journal › Article › peer-review

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Abstract

Let B be a closed subalgebra of L∞ of the unit circle which contains L∞ properly. Let CB be the C*-algebra generated by the inner functions that are invertible in B. It is shown that the linear span H∞ + CB is equal to B. Also, a closed subspace (called VMOB) of BMO (space of functions of bounded mean oscillation) is identified to which B bears the same relation as L∞ does to BMO.

Original language	English (US)
Pages (from-to)	319-332
Number of pages	14
Journal	Transactions of the American Mathematical Society
Volume	227
DOIs	https://doi.org/10.1090/S0002-9947-1977-0433213-5
State	Published - 1977
Externally published	Yes

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

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10.1090/S0002-9947-1977-0433213-5

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abstract = "Let B be a closed subalgebra of L∞ of the unit circle which contains L∞ properly. Let CB be the C*-algebra generated by the inner functions that are invertible in B. It is shown that the linear span H∞ + CB is equal to B. Also, a closed subspace (called VMOB) of BMO (space of functions of bounded mean oscillation) is identified to which B bears the same relation as L∞ does to BMO.",

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doi = "10.1090/S0002-9947-1977-0433213-5",

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T1 - Structure of subalgebras between l00 and h

AU - Chang, Sun Yung A.

PY - 1977

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N2 - Let B be a closed subalgebra of L∞ of the unit circle which contains L∞ properly. Let CB be the C*-algebra generated by the inner functions that are invertible in B. It is shown that the linear span H∞ + CB is equal to B. Also, a closed subspace (called VMOB) of BMO (space of functions of bounded mean oscillation) is identified to which B bears the same relation as L∞ does to BMO.

AB - Let B be a closed subalgebra of L∞ of the unit circle which contains L∞ properly. Let CB be the C*-algebra generated by the inner functions that are invertible in B. It is shown that the linear span H∞ + CB is equal to B. Also, a closed subspace (called VMOB) of BMO (space of functions of bounded mean oscillation) is identified to which B bears the same relation as L∞ does to BMO.

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DO - 10.1090/S0002-9947-1977-0433213-5

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SP - 319

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JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

ER -

Structure of subalgebras between l00 and h

Abstract

All Science Journal Classification (ASJC) codes

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