University of Illinois Urbana-Champaign

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

Popa, Ana-Maria

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Description

Title
On Completely Bounded Multipliers of the Fourier Algebra A(G)
Author(s)
Popa, Ana-Maria
Issue Date
2008
Doctoral Committee Chair(s)
Ruan, Zhong-Jin
Department of Study
Mathematics
Discipline
Mathematics
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Mathematics
Language
eng
Abstract
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; .
Graduation Semester
2008
Type of Resource
text
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http://hdl.handle.net/2142/86911

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