An operator-valued moment problem

@inproceedings{Lemnete1991AnOM,
  title={An operator-valued moment problem},
  author={Luminiţa Lemnete},
  year={1991}
}
We link Carey's exponential representation of the determining function of a perturbation pair with the moment problem. We prove that an operator sequence represents the moments of a phase operator if and only if there is another positively defined sequence of operators satisfying a boundedness condition. INTRODUCTION The L-moment problem consists in characterizing the moment sequence (1) ~~~~~An = |tnf (t) dt, n Ez N of a measurable function f (with prescribed support in R) which satisfies O… 
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References

SHOWING 1-7 OF 7 REFERENCES
Unitary invariant for self-adjoint operators
  • 1973
Research Institute for Computer Technology and Informatics, Calea Floreasca 167, Sector 2, poste Code 72321
  • Introducere in teoría operatorilor liniari, Editura Tehnicä
  • 1987
Moment problems and operators in Hubert space
  • Proc. Sympos. Appl. Math.,
  • 1987
A L-problem of moments in two-dimensions, preprint
  • 1988