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Unbounded subnormal weighted shifts on directed trees II

2013
journal article
article
10.1016/j.jmaa.2012.04.074
Journal
Journal of Mathematical Analysis and Applications
40
Author
Budzyński Piotr

Jabłoński Zenon

Jung Il Bong

Stochel Jan
Volume
398
Number
2
Pages
600-608
ISSN
0022-247X
eISSN
1096-0813
Keywords in English

Directed tree

Weighted shift on a directed tree

Stieltjes moment sequence

Subnormal operator

Language
English
Journal language
English
Abstract in English

A new method of verifying the subnormality of unbounded Hilbert space operators based on an approximation technique is proposed. Diverse sufficient conditions for subnormality of unbounded weighted shifts on directed trees are established. An approach to this issue via consistent systems of probability measures is invented. The role played by determinate Stieltjes moment sequences is elucidated. Lambert’s characterization of subnormality of bounded operators is shown to be valid for unbounded weighted shifts on directed trees that have sufficiently many quasi-analytic vectors, which is a new phenomenon in this area.

Affiliation
Wydział Matematyki i Informatyki : Instytut Matematyki
Scopus© citations
19
cris.lastimport.wos2024-04-09T19:18:00Z
dc.abstract.enA new method of verifying the subnormality of unbounded Hilbert space operators based on an approximation technique is proposed. Diverse sufficient conditions for subnormality of unbounded weighted shifts on directed trees are established. An approach to this issue via consistent systems of probability measures is invented. The role played by determinate Stieltjes moment sequences is elucidated. Lambert’s characterization of subnormality of bounded operators is shown to be valid for unbounded weighted shifts on directed trees that have sufficiently many quasi-analytic vectors, which is a new phenomenon in this area.pl
dc.affiliationWydział Matematyki i Informatyki : Instytut Matematykipl
dc.contributor.authorBudzyński, Piotrpl
dc.contributor.authorJabłoński, Zenon - 128391 pl
dc.contributor.authorJung, Il Bongpl
dc.contributor.authorStochel, Jan - 132109 pl
dc.date.accessioned2014-07-15T05:36:59Z
dc.date.available2014-07-15T05:36:59Z
dc.date.issued2013pl
dc.date.openaccess48
dc.description.accesstimepo opublikowaniu
dc.description.number2pl
dc.description.physical600-608pl
dc.description.versionostateczna wersja wydawcy
dc.description.volume398pl
dc.identifier.doi10.1016/j.jmaa.2012.04.074pl
dc.identifier.eissn1096-0813pl
dc.identifier.issn0022-247Xpl
dc.identifier.urihttp://ruj.uj.edu.pl/xmlui/handle/item/43
dc.languageengpl
dc.language.containerengpl
dc.rights.licenceInna otwarta licencja
dc.share.typeinne
dc.source.integratorfalse
dc.subject.enDirected treepl
dc.subject.enWeighted shift on a directed treepl
dc.subject.enStieltjes moment sequencepl
dc.subject.enSubnormal operatorpl
dc.subtypeArticlepl
dc.titleUnbounded subnormal weighted shifts on directed trees IIpl
dc.title.journalJournal of Mathematical Analysis and Applicationspl
dc.typeJournalArticlepl
dspace.entity.typePublication
cris.lastimport.wos
2024-04-09T19:18:00Z
dc.abstract.enpl
A new method of verifying the subnormality of unbounded Hilbert space operators based on an approximation technique is proposed. Diverse sufficient conditions for subnormality of unbounded weighted shifts on directed trees are established. An approach to this issue via consistent systems of probability measures is invented. The role played by determinate Stieltjes moment sequences is elucidated. Lambert’s characterization of subnormality of bounded operators is shown to be valid for unbounded weighted shifts on directed trees that have sufficiently many quasi-analytic vectors, which is a new phenomenon in this area.
dc.affiliationpl
Wydział Matematyki i Informatyki : Instytut Matematyki
dc.contributor.authorpl
Budzyński, Piotr
dc.contributor.authorpl
Jabłoński, Zenon - 128391
dc.contributor.authorpl
Jung, Il Bong
dc.contributor.authorpl
Stochel, Jan - 132109
dc.date.accessioned
2014-07-15T05:36:59Z
dc.date.available
2014-07-15T05:36:59Z
dc.date.issuedpl
2013
dc.date.openaccess
48
dc.description.accesstime
po opublikowaniu
dc.description.numberpl
2
dc.description.physicalpl
600-608
dc.description.version
ostateczna wersja wydawcy
dc.description.volumepl
398
dc.identifier.doipl
10.1016/j.jmaa.2012.04.074
dc.identifier.eissnpl
1096-0813
dc.identifier.issnpl
0022-247X
dc.identifier.uri
http://ruj.uj.edu.pl/xmlui/handle/item/43
dc.languagepl
eng
dc.language.containerpl
eng
dc.rights.licence
Inna otwarta licencja
dc.share.type
inne
dc.source.integrator
false
dc.subject.enpl
Directed tree
dc.subject.enpl
Weighted shift on a directed tree
dc.subject.enpl
Stieltjes moment sequence
dc.subject.enpl
Subnormal operator
dc.subtypepl
Article
dc.titlepl
Unbounded subnormal weighted shifts on directed trees II
dc.title.journalpl
Journal of Mathematical Analysis and Applications
dc.typepl
JournalArticle
dspace.entity.type
Publication
Affiliations
Wydział Matematyki i Informatyki
Jabłoński, Zenon
Stochel, Jan
No affiliation
Budzyński, Piotr
Jung, Il Bong

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