dc.rights.license | In Copyright | en_US |
dc.creator | Chu, Hung Viet | |
dc.date.accessioned | 2019-04-19T11:40:50Z | |
dc.date.available | 2019-04-19T11:40:50Z | |
dc.date.created | 2019 | |
dc.identifier | WLURG38_Chu_MATH_2019 | |
dc.identifier.uri | http://hdl.handle.net/11021/34369 | |
dc.description | Hung Viet Chu is a member of the Class of 2019 of Washington and Lee University. | en_US |
dc.description | Thesis; [FULL-TEXT FREELY AVAILABLE ONLINE] | en_US |
dc.description.abstract | For each n in N, let Sn be the Schreier set of order n and XSn be the corresponding Schreier space of order n. In their 1989 paper "The lambda-property in Schreier space S and the Lorentz space d(a, 1)," Th. Shura and D. Trautman proved that the Schreier space of order 1 has the lambda-property. This thesis extends the theorem by proving the lambda-property for the Schreier spaces of any order and the uniform lambda-property (stronger than the lambda-property) for the p-convexification of these spaces. Furthermore, using what we know about extreme points of the unit balls, we are able to characterize all surjective linear isometries of these spaces. | en_US |
dc.format.extent | 41 pages | en_US |
dc.language.iso | en_US | en_US |
dc.rights | This material is made available for use in research, teaching, and private study, pursuant to U.S. Copyright law. The user assumes full responsibility for any use of the materials, including but not limited to, infringement of copyright and publication rights of reproduced materials. Any materials used should be fully credited with the source. | en_US |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | en_US |
dc.subject.other | Washington and Lee University -- Honors in Mathematics | en_US |
dc.title | The Lambda Property and Isometries for Higher Order Schreier Spaces (thesis) | en_US |
dc.type | Text | en_US |
dcterms.isPartOf | RG38 - Student Papers | |
dc.rights.holder | Chu, Hung Viet | |
dc.subject.fast | Lambda calculus | en_US |
dc.subject.fast | Isometrics (Mathematics) | en_US |
dc.subject.fast | Schreier, Josef | en_US |
local.department | Mathematics | en_US |
local.scholarshiptype | Honors Thesis | en_US |