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Ruan, Zhong-Jin Popa, Ana-Maria 2015-09-28T15:20:08Z 2015-09-28T15:20:08Z 10000-01-01 2008 2008 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; . Made available in DSpace on 2015-09-28T15:20:08Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 3337888.pdf: 936883 bytes, checksum: 87625d739e00a529b1ace99983659494 (MD5) Previous issue date: 2008 Embargo set by: Seth Robbins for item 88192 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs U of I Only 81 p. Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2008. http://hdl.handle.net/2142/86911 (MiAaPQ)AAI3337888 eng Mathematics On Completely Bounded Multipliers of the Fourier Algebra A(G) text Mathematics Mathematics University of Illinois at Urbana-Champaign Dissertation Ph.D.