Day, Jerry
(2007)
FIXED POINT THEORY AND BANACH FUNCTION SPACES.
Doctoral Dissertation, University of Pittsburgh.
(Unpublished)
Abstract
This thesis contains original results in functional analysis. In chapter 2, chapter 3, and theappenix minimal invariant sets of certain mappings are characterized. Of particular interest,the family of minimal invariant sets for Aspach's mapping is described in chapter 2. Also,the theory of Komlós sets is advanced significantly in chapter 4 adding to the general theoryof Banach function spaces.
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Details
| Item Type: |
University of Pittsburgh ETD
|
| Status: |
Unpublished |
| Creators/Authors: |
|
| ETD Committee: |
| Title | Member | Email Address | Pitt Username | ORCID |
|---|
| Committee Chair | Lennard, Chris | lennard@pitt.edu | LENNARD | | | Committee Member | Beatrous, Frank | | | | | Committee Member | Diestel, Joe | | | | | Committee Member | Manfredi, Juan | | | | | Committee Member | Dowling, Patrick | | | |
|
| Date: |
20 September 2007 |
| Date Type: |
Completion |
| Defense Date: |
6 August 2007 |
| Approval Date: |
20 September 2007 |
| Submission Date: |
8 August 2007 |
| Access Restriction: |
No restriction; Release the ETD for access worldwide immediately. |
| Institution: |
University of Pittsburgh |
| Schools and Programs: |
Dietrich School of Arts and Sciences > Mathematics |
| Degree: |
PhD - Doctor of Philosophy |
| Thesis Type: |
Doctoral Dissertation |
| Refereed: |
Yes |
| Uncontrolled Keywords: |
Alspach; Banach function spaces; fixed point theory; minimal invariant sets |
| Other ID: |
http://etd.library.pitt.edu/ETD/available/etd-08082007-195132/, etd-08082007-195132 |
| Date Deposited: |
10 Nov 2011 19:58 |
| Last Modified: |
15 Nov 2016 13:48 |
| URI: |
http://d-scholarship.pitt.edu/id/eprint/8995 |
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