| TITLE: Locally Solid Riesz Spaces with Applications to Economics: Second Edition (Mathematical Surveys and Monographs... AUTHOR: Charalambos Aliprantis and Owen Burkinshaw PAGES & COVER: Twarda 344 stron ISBN: 978[zasłonięte][zasłonięte]18340 Publisher: American Publication Date: 2004 Book Condition: New Riesz space (or a vector lattice) is an ordered vector space that is simultaneously a lattice. A topological Riesz space (also called a locally solid Riesz space) is a Riesz space equipped with a linear topology that has a base consisting of solid sets. Riesz spaces and ordered vector spaces play an important role in analysis and optimization. They also provide the natural framework for any modern theory of integration. This monograph is the revised edition of the authors' book Locally Solid Riesz Spaces (1978, Academic Press). It presents an extensive and detailed study (with complete proofs) of topological Riesz spaces. The book starts with a comprehensive exposition of the algebraic and lattice properties of Riesz spaces and the basic properties of order bounded operators between Riesz spaces. Subsequently, it introduces and studies locally solid topologies on Riesz spaces-- the main link between order and topology used in this monograph. Special attention is paid to several continuity properties relating the order and topological structures of Riesz spaces, the most important of which are the Lebesgue and Fatou properties. A new chapter presents some surprising applications of topological Riesz spaces to economics. In particular, it demonstrates that the existence of economic equilibria and the supportability of optimal allocations by prices in the classical economic models can be proven easily using techniques At the end of each chapter there are exercises that complement and supplement the material in the chapter. The last chapter of the book presents complete solutions to all exercises. Prerequisites are the fundamentals of real analysis, measure theory, and functional analysis. This monograph will be useful to researchers and graduate students in mathematics. It will also be an important reference tool to mathematical economists and to all scientists and engineers who use order structures in their research. | | W moim sklepie kupicie państwo najtańsze w Polsce książki w języku angielskim. Jeśli jesteście państwo zainteresowani jakąś pozycją, a nie posiadam jej aktualnie wystawionej - proszę o wiadomość - gwarantuję, że u mnie kupicie ją państwo najtaniej. Proszę obejrzeć moje aukcje WYSYŁKA DARMOWA JEŚLI ZNAJDZIECIE PAŃSTWO DANĄ POZYCJĘ TANIEJ U KOGOŚ NA ALLEGRO - PROSZĘ O INFORMACJĘ PRZED ZAKUPEM - U MNIE BĘDZIE JESZCZE TANIEJ ! DO KAŻDEJ PRZESYŁKI PACZKĄ POCZTOWĄ LUB KURIEREM DOŁĄCZAM DODATKOWĄ DARMOWĄ KSIĄŻKĘ O AKTUALNĄ LISTĘ DOSTĘPNYCH DARMOWYCH KSIAŻEK PROSZĘ PYTAĆ POPRZEZ FORMULARZ ALLEGRO LUB ZAJRZEĆ NA STRONĘ "O MNIE" | |