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University of Illinois at Urbana-Champaign

On Completely Bounded Multipliers of the Fourier Algebra A(G)

Abstract

dc:description

In the last chapter of this exposition, we introduce the uniformly complete quotient space UCQ(G) of a locally compact group G, which is the analogous object of UCB( G&d14; ) in the non-amenable case. It is shown that the operator space dual UCQ(G)* is a completely contractive Banach algebra and we prove that UCQ(G)* embeds completely isometrically into CBLGL infinityG B&parl0;L2&parl0;G&parr0;&parr0; .

Degree

thesis:*
Name thesis:degree_name
Ph.D.
Level thesis:degree_level
Dissertation
Discipline thesis:degree_discipline
Mathematics
Grantor
University of Illinois at Urbana-Champaign
Year dc:date
2015

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Popa, Ana-Maria
Contributors dc:contributor
  • Ruan, Zhong-Jin

Subjects

dc:subject × 1

Rights

Language dc:language
eng

Identifiers

dc:identifier.*
Identifier
(MiAaPQ)AAI3337888
OAI identifier oai:identifier
oai:www.ideals.illinois.edu:2142/86911

Chain of custody

source
Harvested from
University of Illinois - Urbana-Champaign
Base URL
www.ideals.illinois.edu/oai-pmh
Last updated
2026-07-22
Source record
OAI-PMH GetRecord
citation

Popa, Ana-Maria. On Completely Bounded Multipliers of the Fourier Algebra A(G). Dissertation thesis, University of Illinois at Urbana-Champaign, 2015. http://hdl.handle.net/2142/86911