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APPLICATIONS OF HILBERT SPACE DISSIPATIVE NORM
Kubrusly, Carlos S.,Levan, Nhan Korean Mathematical Society 2012 대한수학회보 Vol.49 No.1
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.
APPLICATIONS OF HILBERT SPACE DISSIPATIVE NORM
Carlos S. Kubrusly,Nhan Levan 대한수학회 2012 대한수학회보 Vol.49 No.1
The concept of Hilbert space dissipative norm was introduced in [8] to obtain necessary and sufficient conditions for exponential stabil-ity 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.