Academic Journal
Biduality and density in Lipschitz function spaces
| العنوان: | Biduality and density in Lipschitz function spaces |
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| المؤلفون: | Jiménez Vargas, Antonio, Sepulcre, Juan Matias, Villegas Vallecillos, Moisés |
| المساهمون: | Universidad de Alicante. Departamento de Matemáticas, Curvas Alpha-Densas. Análisis y Geometría Local |
| بيانات النشر: | Mathematica Scandinavica |
| سنة النشر: | 2017 |
| المجموعة: | RUA - Repositorio Institucional de la Universidad de Alicante |
| مصطلحات موضوعية: | Lipschitz function, Little Lipschitz function, Hölder function, Lipschitz-free Banach space, Análisis Matemático |
| الوصف: | For pointed compact metric spaces (X,d), we address the biduality problem as to when the space of Lipschitz functions Lip0(X,d) is isometrically isomorphic to the bidual of the space of little Lipschitz functions lip0(X,d), and show that this is the case whenever the closed unit ball of lip0(X,d) is dense in the closed unit ball of Lip0(X,d) with respect to the topology of pointwise convergence. Then we apply our density criterion to prove in an alternative way the real version of a classical result which asserts that Lip0(X,dα) is isometrically isomorphic to lip0(X,dα)∗∗ for any α∈(0,1). ; This research was partially supported by MICINN under project MTM 2010-17687. |
| نوع الوثيقة: | article in journal/newspaper |
| اللغة: | English |
| Relation: | http://dx.doi.org/10.7146/math.scand.a-25987; info:eu-repo/grantAgreement/MICINN//MTM2010-17687; Mathematica Scandinavica. 2017, 121(1): 92-100. doi:10.7146/math.scand.a-25987; 0025-5521 (Print); 1903-1807 (Online); http://hdl.handle.net/10045/73451 |
| DOI: | 10.7146/math.scand.a-25987 |
| الاتاحة: | http://hdl.handle.net/10045/73451 https://doi.org/10.7146/math.scand.a-25987 |
| Rights: | © Mathematica Scandinavica ; info:eu-repo/semantics/openAccess |
| رقم الانضمام: | edsbas.B3904B0D |
| قاعدة البيانات: | BASE |
| DOI: | 10.7146/math.scand.a-25987 |
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