Mathematical Notes

, Volume 93, Issue 3–4, pp 351–359 | Cite as

On analogs of spectral decomposition of a quantum state

  • G. G. Amosov
  • V. Zh. Sakbaev


The set of quantum states in a Hilbert space is considered. The structure of the set of extreme points of the set of states is investigated and an arbitrary state is represented as the Pettis integral over a finitely additive measure on the set of vector states, which is a generalization of the spectral decomposition of a normal state.


quantum state spectral decomposition finitely additive measure 


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© Pleiades Publishing, Ltd. 2013

Authors and Affiliations

  1. 1.Steklov Mathematical InstituteRussian Academy of Sciences Moscow Institute of Physics and Technology (State University)MoscowRussia

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