Abstract
We characterize generators of sub-Markovian semigroups onLp(Ω) by a version of Kato's inequality. This will be used to show (under precise assumptions) that the semigroup generated by a matrix operatorA=(Aij)1≦i,j≦n on (Lp(Ω))n is sub-Markovian if and only if the semigroup generated by the sum of each rowAi1+...+Ain (1≦i≦n), is sub-Markovian. The corresponding result on (C0(X))n characterizes dissipative operator matrices.
Full Text 
Sign-in/Register to access full text options
Sign-in/Register to access full text options 
Published version (
Free)
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callSimilar Papers
Paper Title
Journal
Date
