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...

Descripción completa

Guardado en:
Detalles Bibliográficos
Publicado: 1999
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0008414X_v51_n1_p147_Suarez
http://hdl.handle.net/20.500.12110/paper_0008414X_v51_n1_p147_Suarez
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_0008414X_v51_n1_p147_Suarez
record_format dspace
spelling paper:paper_0008414X_v51_n1_p147_Suarez2023-06-08T14:31:58Z 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 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. 1999 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0008414X_v51_n1_p147_Suarez http://hdl.handle.net/20.500.12110/paper_0008414X_v51_n1_p147_Suarez
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection 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.
title Homeomorphic analytic maps into the maximal ideal space of H∞
spellingShingle 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∞
publishDate 1999
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0008414X_v51_n1_p147_Suarez
http://hdl.handle.net/20.500.12110/paper_0008414X_v51_n1_p147_Suarez
_version_ 1768543684140204032

Ejemplares similares