Topics in Functional Analysis
dc.contributor.advisor | Johnson, William B | |
dc.contributor.advisor | Kerr, David | |
dc.creator | Boedihardjo, March Tian | |
dc.date.accessioned | 2016-07-08T15:10:32Z | |
dc.date.available | 2016-07-08T15:10:32Z | |
dc.date.created | 2016-05 | |
dc.date.issued | 2016-03-10 | |
dc.date.submitted | May 2016 | |
dc.identifier.uri | https://hdl.handle.net/1969.1/156898 | |
dc.description.abstract | I give a geometric characterization of mean ergodic convergence in the Calkin algebras for Banach spaces that have the bounded compact approximation property; I obtain (i) a new, coordinate free, characterization of quasidiagonal operators with essential spectra contained in the unit circle by adapting the proof of a classical result in the theory of Banach spaces, (ii) affirmative answers to some questions of Hadwin, and (iii) an alternative proof of Hadwin’s characterization of the strong, weak and ∗-strong operator topologies of the unitary orbit of a given operator on a separable, infinite dimensional, complex Hilbert space; I study appropriately normalized square random Vandermonde matrices based on independent random variables with uniform distribution on the unit circle; and I show that as the matrix size increases without bound, with respect to the expectation of the trace there is an asymptotic ∗-distribution, equal to that of a C[0, 1]-valued R-diagonal element. | en |
dc.format.mimetype | application/pdf | |
dc.language.iso | en | |
dc.subject | functional analysis | en |
dc.title | Topics in Functional Analysis | en |
dc.type | Thesis | en |
thesis.degree.department | Mathematics | en |
thesis.degree.discipline | Mathematics | en |
thesis.degree.grantor | Texas A & M University | en |
thesis.degree.name | Doctor of Philosophy | en |
thesis.degree.level | Doctoral | en |
dc.contributor.committeeMember | Schlumprecht, Thomas | |
dc.contributor.committeeMember | Foias, Ciprian | |
dc.contributor.committeeMember | Douglas, Ronald | |
dc.contributor.committeeMember | Cahill, Anthony | |
dc.type.material | text | en |
dc.date.updated | 2016-07-08T15:10:33Z | |
local.etdauthor.orcid | 0000-0002-4851-7928 |
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