Mostrar el registro sencillo del ítem

Exact observability, square functions and spectral theory

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorHAAK, Bernhard Hermann
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorOUHABAZ, El-Maati
dc.date.accessioned2024-04-04T02:27:14Z
dc.date.available2024-04-04T02:27:14Z
dc.date.created2011-02-16
dc.date.issued2012-03-15
dc.identifier.issn0022-1236
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/190017
dc.description.abstractEnIn the first part of this article we introduce the notion of a backward-forward conditioning (BFC) system that generalises the notion of zero-class admissibiliy introduced in [Xu,Liu,Yung]. We can show that unless the spectum contains a halfplane, the BFC property occurs only in siutations where the underlying semigroup extends to a group. In a second part we present a sufficient condition for exact observability in Banach spaces that is designed for infinite-dimensional output spaces and general strongly continuous semigroups. To obtain this we make use of certain weighted square function estimates. Specialising to the Hilbert space situation we obtain a result for contraction semigroups without an analyticity condition on the semigroup.
dc.language.isoen
dc.publisherElsevier
dc.rights.urihttp://hal.archives-ouvertes.fr/licences/copyright/
dc.subject.enspectral theory of semigroups and groups
dc.subject.ensquare function estimates
dc.subject.en$H^\infty$ functional calculus
dc.subject.enExact observability
dc.subject.enadmissibility
dc.title.enExact observability, square functions and spectral theory
dc.typeArticle de revue
dc.subject.halMathématiques [math]/Analyse fonctionnelle [math.FA]
dc.subject.halMathématiques [math]/Optimisation et contrôle [math.OC]
dc.identifier.arxiv1102.3268
bordeaux.journalJournal of Functional Analysis
bordeaux.page2903-2927
bordeaux.volume262
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue6
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-00566394
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00566394v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Journal%20of%20Functional%20Analysis&rft.date=2012-03-15&rft.volume=262&rft.issue=6&rft.spage=2903-2927&rft.epage=2903-2927&rft.eissn=0022-1236&rft.issn=0022-1236&rft.au=HAAK,%20Bernhard%20Hermann&OUHABAZ,%20El-Maati&rft.genre=article


Archivos en el ítem

ArchivosTamañoFormatoVer

No hay archivos asociados a este ítem.

Este ítem aparece en la(s) siguiente(s) colección(ones)

Mostrar el registro sencillo del ítem