On L. Schwartz ' s boundedness condition for kernels

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dc.citation.epage86en_US
dc.citation.issueNumber1en_US
dc.citation.spage65en_US
dc.citation.volumeNumber10en_US
dc.contributor.authorConstantinescu, T.en_US
dc.contributor.authorGheondea, A.en_US
dc.date.accessioned2016-02-08T10:20:02Z
dc.date.available2016-02-08T10:20:02Z
dc.date.issued2006en_US
dc.departmentDepartment of Mathematicsen_US
dc.description.abstractIn previous works we analysed conditions for linearization of Hermitian kernels. The conditions on the kernel turned out to be of a type considered previously by L. Schwartz in the related matter of characterizing the real linear space generated by positive definite kernels. The aim of the present note is to find more concrete expressions of the Schwartz type conditions: in the Hamburger moment problem for Hankel type kernels on the free semigroup, in dilation theory (Stinespring type dilations and Haagerup decomposability), as well as in multi-variable holomorphy. © 2006 Birkhäuser Verlag.en_US
dc.identifier.doi10.1007/s11117-005-0010-5en_US
dc.identifier.eissn1572-9281
dc.identifier.issn1385-1292
dc.identifier.urihttp://hdl.handle.net/11693/23839
dc.language.isoEnglishen_US
dc.publisherBirkhaeuser Scienceen_US
dc.relation.isversionofhttp://dx.doi.org/10.1007/s11117-005-0010-5en_US
dc.source.titlePositivityen_US
dc.subjectDecomposable kernelen_US
dc.subjectFree semigroupen_US
dc.subjectGNS constructionen_US
dc.subjectHankel type kernelen_US
dc.subjectHolomorphic kernelen_US
dc.subjectInvariant Hermitian kernelen_US
dc.subjectSemigroup with involutionen_US
dc.titleOn L. Schwartz ' s boundedness condition for kernelsen_US
dc.typeArticleen_US
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