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Isometries of Lipschitz type function spaces

Ranjbar Motlagh, A ; Sharif University of Technology | 2018

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  1. Type of Document: Article
  2. DOI: 10.1002/mana.201700055
  3. Publisher: Wiley-VCH Verlag , 2018
  4. Abstract:
  5. In this article, we describe isometries over the Lipschitz spaces under certain conditions. Indeed, we provide a unified proof for the main results of and in a more general setting. Finally, we extend our results for some other functions spaces like the space of vector-valued little Lipschitz maps and pointwise Lipschitz maps. © 2018 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
  6. Keywords:
  7. Algebra isomorphism ; Banach–Stone theorem ; Isometry ; Lipschitz maps ; Multipliers
  8. Source: Mathematische Nachrichten ; Volume 291, Issue 11-12 , 2018 , Pages 1899-1907 ; 0025584X (ISSN)
  9. URL: https://onlinelibrary.wiley.com/doi/abs/10.1002/mana.201700055