Bulletin of the Iranian Mathematical Society

Bulletin of the Iranian Mathematical Society

Linear operators of Banach spaces with range in Lipschitz algebras

Document Type : Research Paper

Authors
Department of Mathematics‎, ‎Faculty of Mathematical Sciences and‎ ‎Computer‎, ‎Kharazmi University‎, ‎50‎, ‎Taleghani Ave.‎, ‎15618‎, ‎Tehran‎, Iran.
Abstract
In this paper, a complete description concerning linear operators
of Banach spaces with range in Lipschitz algebras $lip_al(X)$ is
provided. Necessary and sufficient conditions are established to
ensure boundedness and (weak) compactness of these operators.
Finally, a lower bound for the essential norm of such operators is
obtained.
Keywords
Subjects

Volume 42, Issue 1 - Serial Number 1
February 2016
Pages 69-78

  • Receive Date 10 April 2014
  • Revise Date 01 November 2014
  • Accept Date 01 November 2014