Algebras of Toeplitz Operators

dc.contributor.authorOrdonez-Delgado, Bartlebyen
dc.contributor.committeechairHaskell, Peter E.en
dc.contributor.committeememberBall, Joseph A.en
dc.contributor.committeememberRossi, John F.en
dc.contributor.departmentMathematicsen
dc.date.accessioned2014-03-14T20:35:40Zen
dc.date.adate2006-05-30en
dc.date.available2014-03-14T20:35:40Zen
dc.date.issued2006-05-03en
dc.date.rdate2006-05-30en
dc.date.sdate2006-05-08en
dc.description.abstractIn this work we examine C*-algebras of Toeplitz operators over the unit ball in ℂ<sup>n</sup> and the unit polydisc in ℂ². Toeplitz operators are interesting examples of non-normal operators that generate non-commutative C*-algebras. Moreover, in the nice cases (depending on the geometry of the domain) of algebras of Toeplitz operators we can recover some analogues of the spectral theorem up to compact operators. In this setting, we can capture the index of a Fredholm operator which is a fundamental numerical invariant in Operator Theory.en
dc.description.degreeMaster of Scienceen
dc.identifier.otheretd-05082006-221127en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-05082006-221127/en
dc.identifier.urihttp://hdl.handle.net/10919/32378en
dc.publisherVirginia Techen
dc.relation.haspartThesis1.pdfen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectC*-algebrasen
dc.subjectToeplitz operatorsen
dc.titleAlgebras of Toeplitz Operatorsen
dc.typeThesisen
thesis.degree.disciplineMathematicsen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.levelmastersen
thesis.degree.nameMaster of Scienceen

Files

Original bundle
Now showing 1 - 1 of 1
Loading...
Thumbnail Image
Name:
Thesis1.pdf
Size:
369.02 KB
Format:
Adobe Portable Document Format

Collections