Perturbations of dissipative operators with relative bound one
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- by Paul R. Chernoff PDF
- Proc. Amer. Math. Soc. 33 (1972), 72-74 Request permission
Abstract:
Let A be the generator of a $({C_0})$ contraction semigroup on a Banach space. Let B be a dissipative operator with densely defined adjoint. Assume that the inequality $\left \| {Bx} \right \| \leqq \left \| {Ax} \right \| + b\left \| x \right \|$ holds on the domain of A. Then the closure of $A + B$ generates a $({C_0})$ contraction semigroup.References
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Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 33 (1972), 72-74
- MSC: Primary 47D05; Secondary 47B44
- DOI: https://doi.org/10.1090/S0002-9939-1972-0296745-X
- MathSciNet review: 0296745