Topological Rings and Infinite Matrices PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Topological Rings and Infinite Matrices PDF full book. Access full book title Topological Rings and Infinite Matrices by Wilbur Leonard Mitchell. Download full books in PDF and EPUB format.
Author: Wilbur Leonard Mitchell
Publisher:
ISBN:
Category : Matrices
Languages : en
Pages : 128
Get Book
Book Description
Author: Wilbur Leonard Mitchell
Publisher:
ISBN:
Category : Matrices
Languages : en
Pages : 128
Get Book
Book Description
Author: Bertram Wehrfritz
Publisher: Springer Science & Business Media
ISBN: 3642870813
Category : Mathematics
Languages : en
Pages : 243
Get Book
Book Description
By a linear group we mean essentially a group of invertible matrices with entries in some commutative field. A phenomenon of the last twenty years or so has been the increasing use of properties of infinite linear groups in the theory of (abstract) groups, although the story of infinite linear groups as such goes back to the early years of this century with the work of Burnside and Schur particularly. Infinite linear groups arise in group theory in a number of contexts. One of the most common is via the automorphism groups of certain types of abelian groups, such as free abelian groups of finite rank, torsion-free abelian groups of finite rank and divisible abelian p-groups of finite rank. Following pioneering work of Mal'cev many authors have studied soluble groups satisfying various rank restrictions and their automor phism groups in this way, and properties of infinite linear groups now play the central role in the theory of these groups. It has recently been realized that the automorphism groups of certain finitely generated soluble (in particular finitely generated metabelian) groups contain significant factors isomorphic to groups of automorphisms of finitely generated modules over certain commutative Noetherian rings. The results of our Chapter 13, which studies such groups of automorphisms, can be used to give much information here.
Author: Bertram A. F. Wehrfritz
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 254
Get Book
Book Description
The Great Brain faces the challenge of life at a strict Catholic boarding school with daring exploits and money-making schemes.
Author: Dikran Dikranjan
Publisher: CRC Press
ISBN: 0429530064
Category : Mathematics
Languages : en
Pages : 381
Get Book
Book Description
Features a stimulating selection of papers on abelian groups, commutative and noncommutative rings and their modules, and topological groups. Investigates currently popular topics such as Butler groups and almost completely decomposable groups.
Author: S. Warner
Publisher: Elsevier
ISBN: 9780080872896
Category : Mathematics
Languages : en
Pages : 497
Get Book
Book Description
This text brings the reader to the frontiers of current research in topological rings. The exercises illustrate many results and theorems while a comprehensive bibliography is also included. The book is aimed at those readers acquainted with some very basic point-set topology and algebra, as normally presented in semester courses at the beginning graduate level or even at the advanced undergraduate level. Familiarity with Hausdorff, metric, compact and locally compact spaces and basic properties of continuous functions, also with groups, rings, fields, vector spaces and modules, and with Zorn's Lemma, is also expected.
Author: Richard E. Johnson
Publisher:
ISBN:
Category : Infinite matrices
Languages : en
Pages : 142
Get Book
Book Description
Author: Marko Lindner
Publisher: Springer Science & Business Media
ISBN: 3764377674
Category : Mathematics
Languages : en
Pages : 203
Get Book
Book Description
This book is concerned with the study of infinite matrices and their approximation by matrices of finite size. The main concepts presented are invertibility at infinity (closely related to Fredholmness), limit operators, and the stability and convergence of finite matrix approximations. Concrete examples are used to illustrate the results throughout, including discrete Schrödinger operators and integral and boundary integral operators arising in mathematical physics and engineering.
Author: Charles W Swartz
Publisher: World Scientific
ISBN: 9814498718
Category : Mathematics
Languages : en
Pages : 222
Get Book
Book Description
These notes present a theorem on infinite matrices with values in a topological group due to P Antosik and J Mikusinski. Using the matrix theorem and classical gliding hump techniques, a number of applications to various topics in functional analysis, measure theory and sequence spaces are given. There are a number of generalizations of the classical Uniform Boundedness Principle given; in particular, using stronger notions of sequential convergence and boundedness due to Antosik and Mikusinski, versions of the Uniform Boundedness Principle and the Banach-Steinhaus Theorem are given which, in contrast to the usual versions, require no completeness or barrelledness assumptions on the domain space. Versions of Nikodym Boundedness and Convergence Theorems of measure theory, the Orlicz-Pettis Theorem on subseries convergence, generalizations of the Schur Lemma on the equivalence of weak and norm convergence in l1 and the Mazur-Orlicz Theorem on the continuity of separately continuous bilinear mappings are also given. Finally, the matrix theorems are also employed to treat a number of topics in sequence spaces.
Author: Boris Khesin
Publisher: Springer Science & Business Media
ISBN: 3540772634
Category : Mathematics
Languages : en
Pages : 304
Get Book
Book Description
This monograph gives an overview of various classes of infinite-dimensional Lie groups and their applications in Hamiltonian mechanics, fluid dynamics, integrable systems, gauge theory, and complex geometry. The text includes many exercises and open questions.
Author: Martyn R. Dixon
Publisher: CRC Press
ISBN: 1351008021
Category : Mathematics
Languages : en
Pages : 280
Get Book
Book Description
Linear Groups: The Accent on Infinite Dimensionality explores some of the main results and ideas in the study of infinite-dimensional linear groups. The theory of finite dimensional linear groups is one of the best developed algebraic theories. The array of articles devoted to this topic is enormous, and there are many monographs concerned with matrix groups, ranging from old, classical texts to ones published more recently. However, in the case when the dimension is infinite (and such cases arise quite often), the reality is quite different. The situation with the study of infinite dimensional linear groups is like the situation that has developed in the theory of groups, in the transition from the study of finite groups to the study of infinite groups which appeared about one hundred years ago. It is well known that this transition was extremely efficient and led to the development of a rich and central branch of algebra: Infinite group theory. The hope is that this book can be part of a similar transition in the field of linear groups. Features This is the first book dedicated to infinite-dimensional linear groups This is written for experts and graduate students specializing in algebra and parallel disciplines This book discusses a very new theory and accumulates many important and useful results
