![L[subscript P]-spaces and Injective Locally Convex Spaces PDF](https://books.google.com/books/content/images/frontcover/b17KYBb57FAC?fife=w150-h200)
Author: Paweł DomańskiPublisher:
ISBN:
Category : Locally convex spaces
Languages : en
Pages : 88
Book Description
L[subscript P]-spaces and Injective Locally Convex Spaces
![L[subscript P]-spaces and Injective Locally Convex Spaces PDF](https://books.google.com/books/content/images/frontcover/b17KYBb57FAC?fife=w80-h100)
Author: Paweł DomańskiPublisher:
ISBN:
Category : Locally convex spaces
Languages : en
Pages : 88
Book Description
Barrelled Locally Convex Spaces
Author: P. Pérez CarrerasPublisher: Elsevier
ISBN: 0080872425
Category : Mathematics
Languages : en
Pages : 529
Book Description
This book is a systematic treatment of barrelled spaces, and of structures in which barrelledness conditions are significant. It is a fairly self-contained study of the structural theory of those spaces, concentrating on the basic phenomena in the theory, and presenting a variety of functional-analytic techniques.Beginning with some basic and important results in different branches of Analysis, the volume deals with Baire spaces, presents a variety of techniques, and gives the necessary definitions, exploring conditions on discs to ensure that they are absorbed by the barrels of the space. The abstract theory of barrelled spaces is then presented, as well as local completeness and its applications to the inheritance of the Mackey topology to subspaces. Further discussed is the abstract study of bornological and ultrabornological spaces; B- and Br-completeness; inductive limits; strong barrelledness conditions; characterizations of barrelled, bornological and (DF)-spaces in the context of spaces of type C(X); the stability of barrelledness conditions of topological tensor products and the related questions of commutability of inductive limits and tensor products; and the holomorphically significant properties of locally convex spaces as developed by Nachbin and others.
Free Topological Vector Spaces
Author: Joe FloodPublisher:
ISBN:
Category : Categories (Mathematics)
Languages : en
Pages : 108
Book Description
Locally Convex Spaces
Author: Publisher: Springer Science & Business Media
ISBN: 3322905594
Category : Technology & Engineering
Languages : en
Pages : 549
Book Description
The present book grew out of several courses which I have taught at the University of Zürich and at the University of Maryland during the past seven years. It is primarily intended to be a systematic text on locally convex spaces at the level of a student who has some familiarity with general topology and basic measure theory. However, since much of the material is of fairly recent origin and partly appears here for the first time in a book, and also since some well-known material has been given a not so well-known treatment, I hope that this book might prove useful even to more advanced readers. And in addition I hope that the selection ofmaterial marks a sufficient set-offfrom the treatments in e.g. N. Bourbaki [4], [5], R.E. Edwards [1], K. Floret-J. Wloka [1], H.G. Garnir-M. De Wilde-J. Schmets [1], AGrothendieck [13], H. Heuser [1], J. Horvath [1], J.L. Kelley-I. Namioka et al. [1], G. Köthe [7], [10], A P. Robertson W. Robertson [1], W. Rudin [2], H.H. Schaefer [1], F. Treves [l], A Wilansky [1]. A few sentences should be said about the organization of the book. It consists of 21 chapters which are grouped into three parts. Each chapter splits into several sections. Chapters, sections, and the statements therein are enumerated in consecutive fashion.
Analytic Sets in Locally Convex Spaces
Author: P. MazetPublisher: Elsevier
ISBN: 008087200X
Category : Mathematics
Languages : en
Pages : 287
Book Description
Analytic Sets in Locally Convex Spaces
Topological Vector Spaces and Algebras
Author: Lucien WaelbroeckPublisher: Lecture Notes in Mathematics
ISBN:
Category : Mathematics
Languages : en
Pages : 172
Book Description
The lectures associated with these notes were given at the Instituto de Matematica Pura e Aplicada (IMPA) in Rio de Janeiro, during the local winter 1970. To emphasize the properties of topological algebras, the author had started out his lecture with results about topological algebras, and introduced the linear results as he went along.
Topological Vector Spaces I
Author: Gottfried KöthePublisher: Springer Science & Business Media
ISBN: 3642649882
Category : Mathematics
Languages : en
Pages : 470
Book Description
It is the author's aim to give a systematic account of the most im portant ideas, methods and results of the theory of topological vector spaces. After a rapid development during the last 15 years, this theory has now achieved a form which makes such an account seem both possible and desirable. This present first volume begins with the fundamental ideas of general topology. These are of crucial importance for the theory that follows, and so it seems necessary to give a concise account, giving complete proofs. This also has the advantage that the only preliminary knowledge required for reading this book is of classical analysis and set theory. In the second chapter, infinite dimensional linear algebra is considered in comparative detail. As a result, the concept of dual pair and linear topologies on vector spaces over arbitrary fields are intro duced in a natural way. It appears to the author to be of interest to follow the theory of these linearly topologised spaces quite far, since this theory can be developed in a way which closely resembles the theory of locally convex spaces. It should however be stressed that this part of chapter two is not needed for the comprehension of the later chapters. Chapter three is concerned with real and complex topological vector spaces. The classical results of Banach's theory are given here, as are fundamental results about convex sets in infinite dimensional spaces.
Topological Vector Spaces
Author: N. BourbakiPublisher: Springer Science & Business Media
ISBN: 3642617158
Category : Mathematics
Languages : en
Pages : 368
Book Description
This is a softcover reprint of the 1987 English translation of the second edition of Bourbaki's Espaces Vectoriels Topologiques. Much of the material has been rearranged, rewritten, or replaced by a more up-to-date exposition, and a good deal of new material has been incorporated in this book, reflecting decades of progress in the field.
Topological Vector Spaces, Distributions and Kernels
Author: Publisher: Academic Press
ISBN: 0080873375
Category : Mathematics
Languages : en
Pages : 583
Book Description
Topological Vector Spaces, Distributions and Kernels
p-adic Functional Analysis
Author: W.H. SchikhofPublisher: CRC Press
ISBN: 9780824700386
Category : Mathematics
Languages : en
Pages : 424
Book Description
"Contains research articles by nearly 40 leading mathematicians from North and South America, Europe, Africa, and Asia, presented at the Fourth International Conference on p-adic Functional Analysis held recently in Nijmegen, The Netherlands. Includes numerous new open problems documented with extensive comments and references."