Download or read book Methods in the Theory of Hereditarily Indecomposable Banach Spaces written by Spiros Argyros and published by American Mathematical Soc.. This book was released on 2004 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: A general method producing Hereditarily Indecomposable (H I) Banach spaces is provided. We apply this method to construct a nonseparable H I Banach space $Y$. This space is the dual, as well as the second dual, of a separable H I Banach space.
Download or read book Methods in Banach Space Theory written by Jesus M. F. Castillo and published by Cambridge University Press. This book was released on 2006-11-30 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive overview of modern Banach space theory.
Download or read book Banach Spaces and Descriptive Set Theory Selected Topics written by Pandelis Dodos and published by Springer Science & Business Media. This book was released on 2010-05-10 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume deals with problems in the structure theory of separable infinite-dimensional Banach spaces, with a central focus on universality problems. This topic goes back to the beginnings of the field and appears in Banach's classical monograph. The novelty of the approach lies in the fact that the answers to a number of basic questions are based on techniques from Descriptive Set Theory. Although the book is oriented on proofs of several structural theorems, in the main text readers will also find a detailed exposition of numerous “intermediate” results which are interesting in their own right and have proven to be useful in other areas of Functional Analysis. Moreover, several well-known results in the geometry of Banach spaces are presented from a modern perspective.
Download or read book Proceedings Of The International Congress Of Mathematicians 2018 Icm 2018 In 4 Volumes written by Sirakov Boyan and published by World Scientific. This book was released on 2019-02-27 with total page 5396 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Proceedings of the ICM publishes the talks, by invited speakers, at the conference organized by the International Mathematical Union every 4 years. It covers several areas of Mathematics and it includes the Fields Medal and Nevanlinna, Gauss and Leelavati Prizes and the Chern Medal laudatios.
Download or read book Renormings in Banach Spaces written by Antonio José Guirao and published by Springer Nature. This book was released on 2022-08-23 with total page 621 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents an up-to-date panorama of the different techniques and results in the large field of renorming in Banach spaces and its applications. The reader will find a self-contained exposition of the basics on convexity and differentiability, the classical results in building equivalent norms with useful properties, and the evolution of the subject from its origin to the present days. Emphasis is done on the main ideas and their connections. The book covers several goals. First, a substantial part of it can be used as a text for graduate and other advanced courses in the geometry of Banach spaces, presenting results together with proofs, remarks and developments in a structured form. Second, a large collection of recent contributions shows the actual landscape of the field, helping the reader to access the vast existing literature, with hints of proofs and relationships among the different subtopics. Third, it can be used as a reference thanks to comprehensive lists and detailed indices that may lead to expected or unexpected information. Both specialists and newcomers to the field will find this book appealing, since its content is presented in such a way that ready-to-use results may be accessed without going into the details. This flexible approach, from the in-depth reading of a proof to the search for a useful result, together with the fact that recent results are collected here for the first time in book form, extends throughout the book. Open problems and discussions are included, encouraging the advancement of this active area of research.
Download or read book Non Associative Normed Algebras Volume 2 Representation Theory and the Zel manov Approach written by Miguel Cabrera García and published by Cambridge University Press. This book was released on 2018-04-12 with total page 760 pages. Available in PDF, EPUB and Kindle. Book excerpt: This first systematic account of the basic theory of normed algebras, without assuming associativity, includes many new and unpublished results and is sure to become a central resource for researchers and graduate students in the field. This second volume revisits JB*-triples, covers Zel'manov's celebrated work in Jordan theory, proves the unit-free variant of the Vidav–Palmer theorem, and develops the representation theory of alternative C*-algebras and non-commutative JB*-algebras. This completes the work begun in the first volume, which introduced these algebras and discussed the so-called non-associative Gelfand–Naimark and Vidav–Palmer theorems. This book interweaves pure algebra, geometry of normed spaces, and infinite-dimensional complex analysis. Novel proofs are presented in complete detail at a level accessible to graduate students. The book contains a wealth of historical comments, background material, examples, and an extensive bibliography.
Download or read book Infinite Dimensional Complex Symplectic Spaces written by William Norrie Everitt and published by American Mathematical Soc.. This book was released on 2004 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complex symplectic spaces are non-trivial generalizations of the real symplectic spaces of classical analytical dynamics. This title presents a self-contained investigation of general complex symplectic spaces, and their Lagrangian subspaces, regardless of the finite or infinite dimensionality.
Download or read book Non Associative Normed Algebras written by Miguel Cabrera García and published by Cambridge University Press. This book was released on 2014-07-31 with total page 735 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first systematic account of the basic theory of normed algebras, without assuming associativity. Sure to become a central resource.
Download or read book Non Associative Normed Algebras Volume 1 The Vidav Palmer and Gelfand Naimark Theorems written by Miguel Cabrera García and published by Cambridge University Press. This book was released on 2014-07-31 with total page 735 pages. Available in PDF, EPUB and Kindle. Book excerpt: This first systematic account of the basic theory of normed algebras, without assuming associativity, includes many new and unpublished results and is sure to become a central resource for researchers and graduate students in the field. This first volume focuses on the non-associative generalizations of (associative) C*-algebras provided by the so-called non-associative Gelfand–Naimark and Vidav–Palmer theorems, which give rise to alternative C*-algebras and non-commutative JB*-algebras, respectively. The relationship between non-commutative JB*-algebras and JB*-triples is also fully discussed. The second volume covers Zel'manov's celebrated work in Jordan theory to derive classification theorems for non-commutative JB*-algebras and JB*-triples, as well as other topics. The book interweaves pure algebra, geometry of normed spaces, and complex analysis, and includes a wealth of historical comments, background material, examples and exercises. The authors also provide an extensive bibliography.
Download or read book The Complex Monge Ampere Equation and Pluripotential Theory written by Sławomir Kołodziej and published by American Mathematical Soc.. This book was released on 2005 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt: We collect here results on the existence and stability of weak solutions of complex Monge-Ampere equation proved by applying pluripotential theory methods and obtained in past three decades. First we set the stage introducing basic concepts and theorems of pluripotential theory. Then the Dirichlet problem for the complex Monge-Ampere equation is studied. The main goal is to give possibly detailed description of the nonnegative Borel measures which on the right hand side of the equation give rise to plurisubharmonic solutions satisfying additional requirements such as continuity, boundedness or some weaker ones. In the last part, the methods of pluripotential theory are implemented to prove the existence and stability of weak solutions of the complex Monge-Ampere equation on compact Kahler manifolds. This is a generalization of the Calabi-Yau theorem.
Download or read book A Hereditarily Indecomposable Banach Space and Embeddings of L Into Spaces of Operators written by Kevin Beanland and published by . This book was released on 2006 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Uniformizing Dessins and BelyiMaps via Circle Packing written by Philip L. Bowers and published by American Mathematical Soc.. This book was released on 2004 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction Dessins d'enfants Discrete Dessins via circle packing Uniformizing Dessins A menagerie of Dessins d'enfants Computational issues Additional constructions Non-equilateral triangulations The discrete option Appendix: Implementation Bibliography.
Download or read book Exceptional Vector Bundles Tilting Sheaves and Tilting Complexes for Weighted Projective Lines written by Hagen Meltzer and published by American Mathematical Soc.. This book was released on 2004 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: Deals with weighted projective lines, a class of non-commutative curves modelled by Geigle and Lenzing on a graded commutative sheaf theory. They play an important role in representation theory of finite-dimensional algebras; the complexity of the classification of coherent sheaves largely depends on the genus of these curves.
Download or read book Mutually Catalytic Super Branching Random Walks Large Finite Systems and Renormalization Analysis written by J. T. Cox and published by American Mathematical Soc.. This book was released on 2004 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt: Studies the evolution of the large finite spatial systems in size-dependent time scales and compare them with the behavior of the infinite systems, which amounts to establishing the so-called finite system scheme. This title introduces the concept of a continuum limit in the hierarchical mean field limit.
Download or read book The Conjugacy Problem and Higman Embeddings written by Aleksandr I︠U︡rʹevich Olʹshanskiĭ and published by American Mathematical Soc.. This book was released on 2004 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: For every finitely generated recursively presented group $\mathcal G$ we construct a finitely presented group $\mathcal H$ containing $\mathcal G$ such that $\mathcal G$ is (Frattini) embedded into $\mathcal H$ and the group $\mathcal H$ has solvable conjugacy problem if and only if $\mathcal G$ has solvable conjugacy problem.
Download or read book Locally Finite Root Systems written by Ottmar Loos and published by American Mathematical Soc.. This book was released on 2004 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: We develop the basic theory of root systems $R$ in a real vector space $X$ which are defined in analogy to the usual finite root systems, except that finiteness is replaced by local finiteness: the intersection of $R$ with every finite-dimensional subspace of $X$ is finite. The main topics are Weyl groups, parabolic subsets and positive systems, weights, and gradings.
Download or read book The Complete Dimension Theory of Partially Ordered Systems with Equivalence and Orthogonality written by K. R. Goodearl and published by American Mathematical Soc.. This book was released on 2005 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction Partial commutative monoids Continuous dimension scales Espaliers Classes of espaliers Bibliography Index