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A note on isometries of Lipschitz spaces

Ranjbar Motlagh, A ; Sharif University of Technology

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  1. Type of Document: Article
  2. DOI: 10.1016/j.jmaa.2013.10.003
  3. Abstract:
  4. The main purpose of this article is to generalize a recent result about isometries of Lipschitz spaces. Botelho, Fleming and Jamison [2] described surjective linear isometries between vector-valued Lipschitz spaces under certain conditions. In this article, we extend the main result of [2] by removing the quasi-sub-reflexivity condition from Banach spaces
  5. Keywords:
  6. Banach-Stone theorem ; Isometry ; Vector-valued Lipschitz function
  7. Source: Journal of Mathematical Analysis and Applications ; Vol. 411, Issue. 2 , 2014 , Pages 555-558 ; ISSN: 0022247X
  8. URL: http://www.sciencedirect.com/science/article/pii/S0022247X13009025