دانلود کتاب Topological Groups: Characters, Dualities, and Minimal Group Topoligies

Using only tools of functional analysis that belong to general topology, this informative volume focuses on the theory of topological groups as it relates to characters, dualities, and minimal group topologies.Presenting many new, previously unpublished results, "Topological Groups" considers applications of Folner's theorem, particularly to minimal group topologies, and develops the theory of characters in locally compact abelian groups, including Pontryagin duality and the structure theory of locall compact abelian groups.A one-of-a-kind reference/test, "Topological Groups" gives a short proof of Pontryagin duality in the compact-discrete case based on an elementary proof of the Peter-Weyl theorem and the minimality criterion...examines the use of the powerful p-adic technique...gives a new proof of the precompactness of minimal abelian groups...describes the minimality of products of topological abelian groups...furnishes results on known groups, such as the symmetric groups, unitary groups, and SL (2,IR)...introduces such novel techniques as quasi-p-torsion elements and wtd-functor...and more.