• Title of article

    Sequences of vectors that are orbits of operators

  • Author/Authors

    Ralph deLaubenfels، نويسنده ,

  • Issue Information
    دوهفته نامه با شماره پیاپی سال 2006
  • Pages
    8
  • From page
    459
  • To page
    466
  • Abstract
    This paper characterizes sequences of vectors that are the orbits of a linear operator and sequences of vectors in a Hilbert space that are orbits of a unitary operator. The latter is applied to time series. Sequences of vectors in a Hilbert space that generalize random walks are also shown to be the orbits of a bounded linear operator.  2005 Elsevier Inc. All rights reserved.
  • Keywords
    Unitary operators , time series , Spectral theorem , Vector-valued measures , Operators on Hilbert spaces , Orbits of operators
  • Journal title
    Journal of Mathematical Analysis and Applications
  • Serial Year
    2006
  • Journal title
    Journal of Mathematical Analysis and Applications
  • Record number

    934537