DISSIPATIVE MAPPINGS WITH APPROXIMATELY INVARIANT SUBSPACES
Dissipative linear mappings Z defined on the dense union of an increasing sequence of closed subspaces En of a Banach space E are studied. It is shown that Z is the pregenerator of a contraction semigroup on E provided that sup ∥ QnZ |En ∥ < ∞ where Qn is the quotient map of E onto E En. This...
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| Format: | Journal article |
| Language: | English |
| Published: |
1979
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| Summary: | Dissipative linear mappings Z defined on the dense union of an increasing sequence of closed subspaces En of a Banach space E are studied. It is shown that Z is the pregenerator of a contraction semigroup on E provided that sup ∥ QnZ |En ∥ < ∞ where Qn is the quotient map of E onto E En. This generalises results of Kishimoto and Jørgensen. © 1979. |
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