Academic Journal
On norm attaining Bloch maps
| العنوان: | On norm attaining Bloch maps |
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| المؤلفون: | Jiménez Vargas, Antonio, Villegas Vallecillos, Moisés |
| بيانات النشر: | Elsevier |
| سنة النشر: | 2024 |
| المجموعة: | Universidad de Almería: Repositorio Institucional |
| مصطلحات موضوعية: | Matemáticas |
| الوصف: | Given a complex Banach space X, let B(D, X) denote the space of all normalized Bloch maps from the open complex unit disc D into X. We prove that the set of all maps in B(D, X) which attain their Bloch norms is norm dense in B(D, X). Our approach is based on a previous study of the extremal structure of the unit closed ball of G(D) (the Bloch-free Banach space over D). We prove that normalized Bloch atoms of D are precisely the only extreme points of that ball and, in fact, they are strongly exposed points. Moreover, we characterize the surjective linear isometries of G(D) involved the Möbius transformations of D. |
| نوع الوثيقة: | article in journal/newspaper |
| اللغة: | English |
| Relation: | info:eu-repo/grantAgreement/MCIN/AEI/10.13039/501100011033; http://hdl.handle.net/10835/17758; https://doi.org/10.1016/j.jmaa.2024.128901 |
| DOI: | 10.1016/j.jmaa.2024.128901 |
| الاتاحة: | http://hdl.handle.net/10835/17758 https://doi.org/10.1016/j.jmaa.2024.128901 |
| Rights: | Attribution-NonCommercial-NoDerivatives 4.0 Internacional ; http://creativecommons.org/licenses/by-nc-nd/4.0/ ; info:eu-repo/semantics/openAccess |
| رقم الانضمام: | edsbas.602EB320 |
| قاعدة البيانات: | BASE |
| DOI: | 10.1016/j.jmaa.2024.128901 |
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