Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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MULTIPLICATION OPERATORS ON WEIGHTED BANACH SPACES OF A TREE

  • Allen, Robert F. (Department of Mathematics and Statistics University of Wisconsin-La Crosse) ;
  • Craig, Isaac M. (Department of Mathematics and Statistics University of Wisconsin-La Crosse)
  • Received : 2016.01.04
  • Published : 2017.05.31
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Abstract

We study multiplication operators on the weighted Banach spaces of an infinite tree. We characterize the bounded and the compact operators, as well as determine the operator norm. In addition, we determine the spectrum of the bounded multiplication operators and characterize the isometries. Finally, we study the multiplication operators between the weighted Banach spaces and the Lipschitz space by characterizing the bounded and the compact operators, determining estimates on the operator norm, and showing there are no isometries.

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References

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Cited by

  1. Multiplication Operators Between Iterated Logarithmic Lipschitz Spaces of a Tree vol.14, pp.5, 2017, https://doi.org/10.1007/s00009-017-1013-8