Commutator of projectors and of unitary operators

Conference paper
Part of the Contributions to Statistics book series (CONTRIB.STAT.)


We define and study the concept of commutator for two projectors, for a projector and a unitary operator, and for two unitary operators. Then we state several properties of these commutators. We recall that projectors and unitary operators are linked with the spectral elements of stationary processes. We establish relations between these commutators and some other tools related to the proximity between processes.


Spectral Measure Stationary Series Spectral Element Functional Data Analysis Disjoint Element 
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© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.Equipe de Stat. et Proba., Institut de Mathématiques, UMR5219Université Paul SabatierToulouse Cedex 9France
  2. 2.Université de Perpignan via Domitia, LAMPSPerpignan Cedex 9France

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