Some quadratic correct extensions of minimal operators in banach spaces

Parasidis, IN; Tsekrekos, PC

dc.contributor.author	Parasidis, IN	en
dc.contributor.author	Tsekrekos, PC	en
dc.date.accessioned	2014-03-01T01:34:38Z
dc.date.available	2014-03-01T01:34:38Z
dc.date.issued	2010	en
dc.identifier.issn	1846-3886	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/20779
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-77954933471&partnerID=40&md5=2d8e8128a701b3cd1e01cd7dec47956c	en
dc.subject	Correct extensions of minimal operators	en
dc.subject	Correct operators	en
dc.subject	Minimal operators	en
dc.subject	Quadratic correct extensions of minimal operators	en
dc.subject	Solutions of correct problems	en
dc.title	Some quadratic correct extensions of minimal operators in banach spaces	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	2010	en
heal.abstract	Let A(0) be a minimal operator from a complex Banach space X into X with finite defect, def A(0) = m, and (A) over cap is a linear correct extension of A(0). Let E-c(A(0), (A) over cap) (resp. E-c(A(0)(2), (A) over cap (2))) denote the set of all correct extensions B of A(0) with domain D(B) = D((A) over cap) (resp. B-1 of A(0)(2) with D(B-1) = D((A) over cap (2))) and let E-c(m)(A(0), (A) over cap) (resp. E-c(m+k)(A(0)(2), (A) over cap (2))), k <= m, k, m is an element of N) denote the subset of E-c(A(0), (A) over cap) (resp. E-c(A(0)(2), (A) over cap (2)) consisting of all B is an element of E-c(A(0), (A) over cap) (resp. E-c(A(0)(2), (A) over cap (2))) such that dimR(B-(A) over cap) = m (resp. dimR(B-1-(A) over cap (2)) = m+ k). In this paper: 1. we characterize the set of all operators B-1 is an element of E-c(m+k) (A(0)(2), (A) over cap (2)) with the help of (A) over cap and some vectors S and G and give the solution of the problem B(1)x = f, 2. we describe the subset E-2c(2m) (A(0)(2), (A) over cap (2)) of all operators B-2 is an element of E-c(2m) (A(0)(2), (A) over cap (2)) such that B-2 = B-2, where B is an operator of E-c(m) (A(0), (A) over cap) corresponding to B-2, 3. we give the solution of problems B(2)x = f.	en
heal.publisher	ELEMENT	en
heal.journalName	Operators and Matrices	en
dc.identifier.isi	ISI:000276852600004	en
dc.identifier.volume	4	en
dc.identifier.issue	2	en
dc.identifier.spage	225	en
dc.identifier.epage	243	en