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Jan 2, 2014 at 22:42 answer added András Bátkai timeline score: 3
Dec 18, 2013 at 6:57 comment added Uwe Stroinski The spectrum of $A$ has to be contained in a proper left half-plane.
Dec 17, 2013 at 18:48 review Close votes
Dec 17, 2013 at 22:02
Dec 17, 2013 at 18:32 answer added Michael Renardy timeline score: 6
Dec 17, 2013 at 17:40 comment added BSteinhurst The answer to the first part of your question is to point you at the Hille-Yosida Theorem and its various cousins. They should be in any standard functional analysis textbook. More can't be said about the spectrum unless you have more detail about the operators $S(t)$.
Dec 17, 2013 at 17:33 history asked smyrlis CC BY-SA 3.0