Download or read book Existence of simplicial boundary measures on compact convex sets written by Christian Fr Skau and published by . This book was released on 1969 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Existence of Simplicial Boundary Measures on Compact Convex Sets written by Christian Fr Skau and published by . This book was released on 1969 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Compact Convex Sets and Boundary Integrals written by Erik M. Alfsen and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: The importance of convexity arguments in functional analysis has long been realized, but a comprehensive theory of infinite-dimensional convex sets has hardly existed for more than a decade. In fact, the integral representation theorems of Choquet and Bishop -de Leeuw together with the uniqueness theorem of Choquet inaugurated a new epoch in infinite-dimensional convexity. Initially considered curious and tech nically difficult, these theorems attracted many mathematicians, and the proofs were gradually simplified and fitted into a general theory. The results can no longer be considered very "deep" or difficult, but they certainly remain all the more important. Today Choquet Theory provides a unified approach to integral representations in fields as diverse as potential theory, probability, function algebras, operator theory, group representations and ergodic theory. At the same time the new concepts and results have made it possible, and relevant, to ask new questions within the abstract theory itself. Such questions pertain to the interplay between compact convex sets K and their associated spaces A(K) of continuous affine functions; to the duality between faces of K and appropriate ideals of A(K); to dominated extension problems for continuous affine functions on faces; and to direct convex sum decomposition into faces, as well as to integral for mulas generalizing such decompositions. These problems are of geometric interest in their own right, but they are primarily suggested by applica tions, in particular to operator theory and function algebras.
Download or read book Existence of Simplical Boundary Measures on Compact Convex Sets written by Christian Fr Skau and published by . This book was released on 1962 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Reviews in Functional Analysis 1980 86 written by and published by . This book was released on 1989 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematical Reviews written by and published by . This book was released on 2005 with total page 1158 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Integral Representation Theory written by Jaroslav Lukeš and published by Walter de Gruyter. This book was released on 2010 with total page 732 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents the state of the art of convexity, with an emphasis to integral representation. The exposition is focused on Choquet's theory of function spaces with a link to compact convex sets. An important feature of the book is an interplay between various mathematical subjects, such as functional analysis, measure theory, descriptive set theory, Banach spaces theory and potential theory. A substantial part of the material is of fairly recent origin and many results appear in the book form for the first time. The text is self-contained and covers a wide range of applications. From the contents: Geometry of convex sets Choquet theory of function spaces Affine functions on compact convex sets Perfect classes of functions and representation of affine functions Simplicial function spaces Choquet's theory of function cones Topologies on boundaries Several results on function spaces and compact convex sets Continuous and measurable selectors Construction of function spaces Function spaces in potential theory and Dirichlet problem Applications
Download or read book Ergebnisse der Mathematik und ihrer Grenzgebiete written by and published by . This book was released on 1971 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematica Scandinavica written by and published by . This book was released on 1970 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Contributions to Statistics written by Jaroslav Hájek and published by Springer. This book was released on 1979-08-30 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: The death of Jaroslav Hajek on June 10, 1974 was a heavy loss to many mathe maticians all around the world. The impact of his work on mathematical statistics has been so extraordinary that it has completely changed the character of some fields of this science. Some of his ideas have become a part of the common statistical conSClOusness. Hajek's contribution to statistics includes research in the theory of rank tests, parametric estimation, probability sampling, statistical inference in stochastic processes and various other specializations. His results were always of fundamental character for the corresponding field and they continue to stimulate further research and progress. For proving the results, he developed original methods which are now commonly used for the solution of many related problems. Hajek was an enthusiastic mathematician; the secret of his success was in his love for the subject and in his great sense for practical applications; just practical problems provided him the source of excellent mathematical problems and ideas. We see the best way of commemorating Jaroslav Hajek in the arrangement of the present volume which collects papers of authors whose work is related to Hajek's work and who were friends of him. The authors come from Czechoslovakia, Hungary. the Netherlands, Sweden, U.S.A .. U.S.S.R., and West Germany. I wish to thank most cordially all the authors and all who contributed in any way to the success of the publication.
Download or read book Selecta written by Heinz Bauer and published by Walter de Gruyter. This book was released on 2012-05-24 with total page 612 pages. Available in PDF, EPUB and Kindle. Book excerpt: Heinz Bauer (1928-2002) was one of the prominent figures in Convex Analysis and Potential Theory in the second half of the 20th century. The Bauer minimum principle and Bauer's work on Silov's boundary and the Dirichlet problem are milestones in convex analysis. Axiomatic potential theory owes him what is known by now as Bauer harmonic spaces. These Selecta collect more than twenty of Bauer's research papers including his seminal papers in Convex Analysis and Potential Theory. Above his research contributions Bauer is best known for his art of writing survey articles. Five of his surveys on different topics are reprinted in this volume. Among them is the well-known article Approximation and Abstract Boundary, for which he was awarded with the Chauvenet Price by the American Mathematical Association in 1980.
Download or read book Atti Del Congresso Internazionale Dei Matematici written by and published by . This book was released on 1970 with total page 984 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Actes du congr s international des math maticiens 1970 written by and published by . This book was released on 1971 with total page 1008 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The National union catalog 1968 1972 written by and published by . This book was released on 1973 with total page 746 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book written by and published by . This book was released on 1973 with total page 1898 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book National Union Catalog written by and published by . This book was released on 1968 with total page 744 pages. Available in PDF, EPUB and Kindle. Book excerpt: Includes entries for maps and atlases.
Download or read book Library of Congress Catalogs written by Library of Congress and published by . This book was released on 1976 with total page 632 pages. Available in PDF, EPUB and Kindle. Book excerpt:
