n this paper, we characterize the condition (E) limμ→±∞∥R(iμ,A)∥=0 for a generator A of an exponentially stable semigroup (T(t))t≥0 on an arbitrary Banach space in terms of (T(t))t≥0. As shown earlier on Hilbert spaces this condition is equivalent to the norm continuity of the semigroup for t>0.
Titolo: | Towards a characterization of eventually norm continuous semigroups on Banach spaces | |
Autori: | ||
Data di pubblicazione: | 1996 | |
Rivista: | ||
Abstract: | n this paper, we characterize the condition (E) limμ→±∞∥R(iμ,A)∥=0 for a generator A of an exponentially stable semigroup (T(t))t≥0 on an arbitrary Banach space in terms of (T(t))t≥0. As shown earlier on Hilbert spaces this condition is equivalent to the norm continuity of the semigroup for t>0. | |
Handle: | http://hdl.handle.net/11697/11713 | |
Appare nelle tipologie: | 1.1 Articolo in rivista |
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