English

Linear maps on the space of all bounded observables preserving maximal deviation

Operator Algebras 2007-05-23 v1 Functional Analysis Quantum Physics

Abstract

In this paper we determine all the bijective linear maps on the space of bounded observables which preserve a fixed moment or the variance. Nonlinear versions of the corresponding results are also presented.

Keywords

Cite

@article{arxiv.math/0305359,
  title  = {Linear maps on the space of all bounded observables preserving maximal deviation},
  author = {L. Molnar and M. Barczy},
  journal= {arXiv preprint arXiv:math/0305359},
  year   = {2007}
}

Comments

27 pages. To appear in J. Funct. Anal

R2 v1 2026-07-22T16:54:51.155Z