• Title, Summary, Keyword: dissipative norm and stabilities

Search Result 1, Processing Time 0.032 seconds

APPLICATIONS OF HILBERT SPACE DISSIPATIVE NORM

  • Kubrusly, Carlos S.;Levan, Nhan
    • Bulletin of the Korean Mathematical Society
    • /
    • v.49 no.1
    • /
    • pp.99-107
    • /
    • 2012
  • The concept of Hilbert space dissipative norm was introduced in [8] to obtain necessary and sufficient conditions for exponential stability of contraction semigroups. In the present paper we show that the same concept can also be used to derive further properties of contraction semigroups, as well as to characterize strongly stable semigroups that are not exponentially stable.