Journal article
Extensions of semigroups of operators
- Abstract:
-
Let T be a representation of an abelian semigroup S on a Banach space X. We identify a necessary and sufficient condition, which we name superexpansiveness, for T to have an extension to a representation U on a Danach space Y containing X such that each U(t) (t ∈ S) has a contractive inverse. Although there are many such extensions (Y, U) in general, there is a unique one which has a certain universal property. The spectrum of this extension coincides with the unitary part of the spectrum of ...
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- Publication status:
- Published
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Bibliographic Details
- Journal:
- JOURNAL OF OPERATOR THEORY
- Volume:
- 46
- Issue:
- 1
- Pages:
- 139-157
- Publication date:
- 2001-01-01
- ISSN:
-
0379-4024
- Source identifiers:
-
22214
Item Description
- Language:
- English
- Keywords:
- Pubs id:
-
pubs:22214
- UUID:
-
uuid:0c12a7e5-ce38-46be-bdd5-719cd95db01c
- Local pid:
- pubs:22214
- Deposit date:
- 2012-12-19
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- Copyright date:
- 2001
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