Preserver Problems Related to Quasi-Arithmetic Means of Invertible Positive Operators

  • Marcell Gaál
  • Gergő Nagy


In this paper we mainly discuss different preserver problems on the cone of positive definite matrices which are related to certain quasi-arithmetic means.


Positive definite matrices Quasi-arithmetic means Nonlinear preservers Geodesics 

Mathematics Subject Classification

Primary: 15B48 47A64 47B49 Secondary: 53C22 



The authors were supported by the National Research, Development and Innovation Office NKFIH Reg. No. K115383.


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Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Functional Analysis Research GroupUniversity of SzegedSzegedHungary
  2. 2.Institute of MathematicsUniversity of DebrecenDebrecenHungary

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