Books about Amenability from Amazon.com

This volume provides a self-contained introduction to some topics in orbit equivalence theory, a branch of ergodic theory. The first two chapters focus on hyperfiniteness and amenability. Included here are proofs of Dye's theorem that probability measure-preserving, ergodic actions of the integers are orbit equivalent and of the theorem of Connes-Feldman-Weiss identifying amenability and hyperfiniteness for non-singular equivalence relations. The presentation here is often influenced by descriptive set theory, and Borel and generic analogs of various results are discussed. The final chapter is a detailed account of Gaboriau's recent results on the theory of costs for equivalence relations and groups and its applications to proving rigidity theorems for actions of free groups..
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This volume is produced from digital images from the Cornell University Library Samuel J. May Anti-Slavery Collection.
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The notion of amenability has its origins in the beginnings of modern measure theory: Does a finitely additive set function exist which is invariant under a certain group action? Since the 1940s, amenability has become an important concept in abstract harmonic analysis (or rather, more generally, in the theory of semitopological semigroups). In 1972, B.E. Johnson showed that the amenability of a locally compact group G can be characterized in terms of the Hochschild cohomology of its group algebra L^1(G): this initiated the theory of amenable Banach algebras. Since then, amenability has penetrated other branches of mathematics, such as von Neumann algebras, operator spaces, and even differential geometry. Lectures onAmenability introduces second year graduate students to this fascinating area of modern mathematics and leads them to a level from where they can go on to read original papers on the subject. Numerous exercises are interspersed in the text..
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This digital document is a journal article from Forest Ecology and Management, published by Elsevier in 2006. The article is delivered in HTML format and is available in your Amazon.com Media Library immediately after purchase. You can view it with any web browser.

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Allanblackia floribunda is a wild and undomesticated forest tree species valued for its nuts used in the food and cosmetic industry. To initiate domestication in the species, the amenability of A. floribunda to vegetative propagation was examined through the rooting of single-node leafy stem cuttings using non-mist propagators in Cameroon. Sixty-four cuttings from each of four tested clones (MB, NG1, NG2, NG4) were set in each of four replicate blocks arranged in a randomised split-split plot factorial design. Each main plot was randomly divided into two types of rooting medium (sand or a 50:50 mixture of sand/sawdust). Sub-plots received three types of auxin at 50@mg per cutting (IAA, IBA or NAA) dissolved in 10@ml of alcohol, the control receiving 10@ml of alcohol. Sub-sub plots had four cutting leaf areas (0, 12.5, 25 and 50cm^2). Interaction of these factors was also investigated. Clonexsubstrate (variance=0.01706) and clonexsubstratexleaf area (variance=0.00835) interactions were identified as important factors on rooting of A. floribunda single-node cuttings at week 38. Rooting medium, clone and leaf area had highly significant effects (p<0.001). Application of auxin did not enhance rooting percentage in cuttings by the end of experiment. Optimising important factors (substrate, clone and leaf area) for rooting identified best rooting percentages (68.7%) in leafy cuttings from clone MB in sand. None of the tested factors had significant effects on number of roots, and rooted cuttings had on average one root. These results indicate that A. floribunda is difficult to root, but is amenable to vegetative propagation. Further work is required to achieve good rooting, as this study indicated that good rates of rooting can be achieved when important factors are optimised. .
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