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Semigroups of Linear Operators

  • A. V. Balakrishnan
Chapter
  • 86 Downloads
Part of the Lecture Notes in Operations Research and Mathematical Systems book series (LNE, volume 42)

Abstract

Let T(t), t ≧ 0, denote a family of linear bounded transformations mapping a Hilbert space H into itself. It is said to be a “semigroup of linear bounded transformations”, or more simply a “semigroup” (for our purposes) if

i) T(0) = Identity

ii) T(t1 + t2) = T(t1)T(t2) = T(t2)T(t1)

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Copyright information

© Springer-Verlag Berlin · Heidelberg 1971

Authors and Affiliations

  • A. V. Balakrishnan
    • 1
  1. 1.University of CaliforniaLos AngelesUSA

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