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LINEAR MAPS PRESERVING IDEMPOTENT OPERATORS

  • Taghavi, Ali (DEPARTMENT OF MATHEMATICS FACULTY OF BASIC SCIENCES UNIVERSITY OF MAZANDARAN) ;
  • Hosseinzadeh, Roja (DEPARTMENT OF MATHEMATICS FACULTY OF BASIC SCIENCES UNIVERSITY OF MAZANDARAN)
  • Received : 2009.02.20
  • Published : 2010.07.31

Abstract

Let A and B be some standard operator algebras on complex Banach spaces X and Y, respectively. We give the concrete forms of linear idempotence preserving maps $\Phi\;:\;A\;{\rightarrow}\;B$ on finite-rank operators.

Keywords

References

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  2. A characterization of an isomorphism 2018, https://doi.org/10.1142/S1793557118500225
  3. Maps preserving the dimension of fixed points of products of operators vol.62, pp.10, 2014, https://doi.org/10.1080/03081087.2013.823680
  4. Maps Completely Preserving Fixed Points and Maps Completely Preserving Kernel of Operators pp.1588-273X, 2018, https://doi.org/10.1007/s10476-018-0305-y