Correct selfadjoint and positive extensions of nondensely defined minimal symmetric operators

Parassidis, I; Tsekrekos, P

dc.contributor.author	Parassidis, I	en
dc.contributor.author	Tsekrekos, P	en
dc.date.accessioned	2014-03-01T01:22:01Z
dc.date.available	2014-03-01T01:22:01Z
dc.date.issued	2005	en
dc.identifier.issn	1085-3375	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/16447
dc.subject	Symmetric Operator	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mathematics	en
dc.title	Correct selfadjoint and positive extensions of nondensely defined minimal symmetric operators	en
heal.type	journalArticle	en
heal.identifier.primary	10.1155/AAA.2005.767	en
heal.identifier.secondary	http://dx.doi.org/10.1155/AAA.2005.767	en
heal.language	English	en
heal.publicationDate	2005	en
heal.abstract	Let A(0) be a closed, minimal symmetric operator from a Hilbert space H into H with domain not dense in H. Let (A) over cap also be a correct selfadjoint extension of A(0). The purpose of this paper is (1) to characterize, with the help of (A) over cap, all the correct selfadjoint extensions B of (A) over cap with domain equal to D((A) over cap), (2) to give the solution of their corresponding problems, (3) to find sufficient conditions for B to be positive (definite) when (A) over cap is positive (definite).	en
heal.publisher	HINDAWI PUBLISHING CORPORATION	en
heal.journalName	Abstract and Applied Analysis	en
dc.identifier.doi	10.1155/AAA.2005.767	en
dc.identifier.isi	ISI:000238987500005	en
dc.identifier.volume	2005	en
dc.identifier.issue	7	en
dc.identifier.spage	767	en
dc.identifier.epage	790	en