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M.Sc. (Mathematics) / Determinants have been present since the very beginning of functional analysis. The determinants of in nite matrices were investigated for the rst time by the astronomer G. W. Hill in his studies on lunar theory. These ideas were then made exact by H. Poincare in 1886. Ten years later, H. von Koch polished and generalized Poincare's results. In 1903, I. Fredholm provided groundbreaking research into the development of a determinant theory for integral operators ...

Cheng Yin Hei. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2006. / Includes bibliographical references (leaves 72-75). / Abstracts in English and Chinese. / Chapter 1 --- Preliminaries --- p.1 / Chapter 1.1 --- "Haar measures, Group algebras and measure algebras of locally compact groups" --- p.1 / Chapter 1.2 --- Banach algebras and amenability --- p.7 / Chapter 2 --- Cohomological properties of Group algebras and Measure algebras --- p.13 / Chapter 2.1 --- Cohomological properties of L1(G) --- p.13 / Chapter 2.2 --- Amenability and weak amenability of M(G) --- p.16 / Chapter 3 --- Amenability and Fourier algebras with Bounded Approximate identities --- p.20 / Chapter 3.1 --- "Properties of Fourier-Stieltjes algebras, Fourier algebras, group von Neumann algebras" --- p.21 / Chapter 3.2 --- Conditions on A(G) that characterizing the amenability of G --- p.25 / Chapter 4 --- Operator Amenability and Fourier algebras --- p.45 / Chapter 4.1 --- Operator Amenability --- p.45 / Chapter 4.2 --- Hopf-von Neumann algebras and their predual structures --- p.50 / Chapter 4.3 --- Operator Cohomological properties of A(G) --- p.51 / Chapter 4.4 --- Ideals in A(G) with bounded approximate identities --- p.60 / Chapter 4.5 --- Other Cohomological properties of A(G) --- p.64 / Chapter A --- "Objects or notions and their ""dual"" versions" --- p.69 / Chapter B --- "Results and ""dual results"" for general locally compact groups" --- p.70 / Chapter C --- "Results and ""dual results"" which are equivalent to the amenability of the group" --- p.71 / Bibliography --- p.72

Bibliography: leaves 134-142.

No description available.

Thesis (Ph. D.)--University of Newcastle, 1972. / Includes bibliographical references (leaves 134-142). Also available online.

Thesis (Ph. D.)--University of Oregon, 2002. / Typescript. Includes vita and abstract. Includes bibliographical references (leaves 57-58). Also available for download via the World Wide Web; free to University of Oregon users. Address: http://wwwlib.umi.com/cr/uoregon/fullcit?p3055703.

Thesis (Ph. D.)--University of Wisconsin--Madison, 1970. / Vita. Typescript. eContent provider-neutral record in process. Description based on print version record. Includes bibliographical references.

D.Phil.

Dr. R.M Brits