Homeomorphic analytic maps into the maximal ideal space of H∞
Let m be a point of the maximal ideal space of H∞ with nontrivial Gleason part P(m). If Lm : double-struck D sign → P(m) is the Huffman map, we show that H∞ ○ Lm is a closed subalgebra of H∞. We characterize the points m for which Lm is a homeomorphism in terms of interpolating sequences, and we sho...
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todo:paper_0008414X_v51_n1_p147_Suarez2023-10-03T14:06:01Z Homeomorphic analytic maps into the maximal ideal space of H∞ Suárez, D. Let m be a point of the maximal ideal space of H∞ with nontrivial Gleason part P(m). If Lm : double-struck D sign → P(m) is the Huffman map, we show that H∞ ○ Lm is a closed subalgebra of H∞. We characterize the points m for which Lm is a homeomorphism in terms of interpolating sequences, and we show that in this case H∞ ○ Lm coincides with H∞. Also, if Im is the ideal of functions in H∞ that identically vanish on P(m), we estimate the distance of any f ∈ H∞ to Im. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_0008414X_v51_n1_p147_Suarez |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
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R-134 |
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| description |
Let m be a point of the maximal ideal space of H∞ with nontrivial Gleason part P(m). If Lm : double-struck D sign → P(m) is the Huffman map, we show that H∞ ○ Lm is a closed subalgebra of H∞. We characterize the points m for which Lm is a homeomorphism in terms of interpolating sequences, and we show that in this case H∞ ○ Lm coincides with H∞. Also, if Im is the ideal of functions in H∞ that identically vanish on P(m), we estimate the distance of any f ∈ H∞ to Im. |
| format |
JOUR |
| author |
Suárez, D. |
| spellingShingle |
Suárez, D. Homeomorphic analytic maps into the maximal ideal space of H∞ |
| author_facet |
Suárez, D. |
| author_sort |
Suárez, D. |
| title |
Homeomorphic analytic maps into the maximal ideal space of H∞ |
| title_short |
Homeomorphic analytic maps into the maximal ideal space of H∞ |
| title_full |
Homeomorphic analytic maps into the maximal ideal space of H∞ |
| title_fullStr |
Homeomorphic analytic maps into the maximal ideal space of H∞ |
| title_full_unstemmed |
Homeomorphic analytic maps into the maximal ideal space of H∞ |
| title_sort |
homeomorphic analytic maps into the maximal ideal space of h∞ |
| url |
http://hdl.handle.net/20.500.12110/paper_0008414X_v51_n1_p147_Suarez |
| work_keys_str_mv |
AT suarezd homeomorphicanalyticmapsintothemaximalidealspaceofh |
| _version_ |
1807322148525572096 |