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ON SELFADJOINT DILATION OF THE DISSIPATIVE EXTENSION OF A DIRECT SUM DIFFERENTIAL OPERATOR

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dc.creator Ugurlu, Ekin
dc.creator Allahverdiev, Bilender
dc.date 2012-12-31T22:00:00Z
dc.date.accessioned 2020-10-06T10:32:51Z
dc.date.available 2020-10-06T10:32:51Z
dc.identifier 77b89ee0-a1cf-426b-8620-ded41da2760f
dc.identifier 10.15352/bjma/1363784231
dc.identifier https://avesis.sdu.edu.tr/publication/details/77b89ee0-a1cf-426b-8620-ded41da2760f/oai
dc.identifier.uri http://acikerisim.sdu.edu.tr/xmlui/handle/123456789/63855
dc.description In this paper, we describe all maximal dissipative, maximal accretive and selfadjoint extensions of the minimal symmetric direct sum differential operators. Further using the equivalence of the Lax-Phillips scattering function and the Sz.-Nagy-Foias, characteristic function we show that all eigen and associated functions of the maximal dissipative extension of the minimal symmetric direct sum operator are complete in L-w(2) (Omega), where Omega = Omega(1) boolean OR Omega(2), Omega(1) = (0, c) and Omega(2) = c, infinity)
dc.language eng
dc.rights info:eu-repo/semantics/closedAccess
dc.title ON SELFADJOINT DILATION OF THE DISSIPATIVE EXTENSION OF A DIRECT SUM DIFFERENTIAL OPERATOR
dc.type info:eu-repo/semantics/article


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