Absolutely Summing Operators In P Spaces And Their Applications PDF Download
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Author | : Joram Lindenstrauss |
Publisher | : |
Total Pages | : 74 |
Release | : 1967 |
Genre | : |
ISBN | : |
Download Absolutely Summing Operators in P Spaces and Their Applications Book in PDF, ePub and Kindle
Author | : Joe Diestel |
Publisher | : Cambridge University Press |
Total Pages | : 494 |
Release | : 1995-04-27 |
Genre | : Mathematics |
ISBN | : 9780521431682 |
Download Absolutely Summing Operators Book in PDF, ePub and Kindle
This text provides the beginning graduate student with an account of p-summing and related operators.
Author | : Stanisław Kwapień |
Publisher | : |
Total Pages | : 26 |
Release | : 1969 |
Genre | : Banach spaces |
ISBN | : |
Download Some Applications of the Theory of Absolutely Summing Operators Book in PDF, ePub and Kindle
Author | : V.I. Bogachev |
Publisher | : Springer |
Total Pages | : 466 |
Release | : 2017-05-16 |
Genre | : Mathematics |
ISBN | : 3319571176 |
Download Topological Vector Spaces and Their Applications Book in PDF, ePub and Kindle
This book gives a compact exposition of the fundamentals of the theory of locally convex topological vector spaces. Furthermore it contains a survey of the most important results of a more subtle nature, which cannot be regarded as basic, but knowledge which is useful for understanding applications. Finally, the book explores some of such applications connected with differential calculus and measure theory in infinite-dimensional spaces. These applications are a central aspect of the book, which is why it is different from the wide range of existing texts on topological vector spaces. Overall, this book develops differential and integral calculus on infinite-dimensional locally convex spaces by using methods and techniques of the theory of locally convex spaces. The target readership includes mathematicians and physicists whose research is related to infinite-dimensional analysis.
Author | : Demeter Krupka |
Publisher | : Elsevier |
Total Pages | : 452 |
Release | : 2000-04-01 |
Genre | : Mathematics |
ISBN | : 0080954278 |
Download Introduction to Global Variational Geometry Book in PDF, ePub and Kindle
This book provides a comprehensive introduction to modern global variational theory on fibred spaces. It is based on differentiation and integration theory of differential forms on smooth manifolds, and on the concepts of global analysis and geometry such as jet prolongations of manifolds, mappings, and Lie groups. The book will be invaluable for researchers and PhD students in differential geometry, global analysis, differential equations on manifolds, and mathematical physics, and for the readers who wish to undertake further rigorous study in this broad interdisciplinary field. Featured topics- Analysis on manifolds- Differential forms on jet spaces - Global variational functionals- Euler-Lagrange mapping - Helmholtz form and the inverse problem- Symmetries and the Noether’s theory of conservation laws- Regularity and the Hamilton theory- Variational sequences - Differential invariants and natural variational principles - First book on the geometric foundations of Lagrange structures- New ideas on global variational functionals - Complete proofs of all theorems - Exact treatment of variational principles in field theory, inc. general relativity- Basic structures and tools: global analysis, smooth manifolds, fibred spaces
Author | : Beata Randrianantoanina |
Publisher | : Walter de Gruyter |
Total Pages | : 465 |
Release | : 2011-12-22 |
Genre | : Mathematics |
ISBN | : 3110918293 |
Download Banach Spaces and their Applications in Analysis Book in PDF, ePub and Kindle
In recent years there has been a surge of profound new developments in various aspects of analysis whose connecting thread is the use of Banach space methods. Indeed, many problems seemingly far from the classical geometry of Banach spaces have been solved using Banach space techniques. This volume contains papers by participants of the conference "Banach Spaces and their Applications in Analysis", held in May 2006 at Miami University in Oxford, Ohio, in honor of Nigel Kalton's 60th birthday. In addition to research articles contributed by participants, the volume includes invited expository articles by principal speakers of the conference, who are leaders in their areas. These articles present overviews of new developments in each of the conference's main areas of emphasis, namely nonlinear theory, isomorphic theory of Banach spaces including connections with combinatorics and set theory, algebraic and homological methods in Banach spaces, approximation theory and algorithms in Banach spaces. This volume also contains an expository article about the deep and broad mathematical work of Nigel Kalton, written by his long time collaborator, Gilles Godefroy. Godefroy's article, and in fact the entire volume, illustrates the power and versatility of applications of Banach space methods and underlying connections between seemingly distant areas of analysis.
Author | : |
Publisher | : |
Total Pages | : 268 |
Release | : 1986-02 |
Genre | : |
ISBN | : |
Download Canadian Journal of Mathematics Book in PDF, ePub and Kindle
Author | : J. Diestel |
Publisher | : Springer Science & Business Media |
Total Pages | : 273 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461252008 |
Download Sequences and Series in Banach Spaces Book in PDF, ePub and Kindle
This volume presents answers to some natural questions of a general analytic character that arise in the theory of Banach spaces. I believe that altogether too many of the results presented herein are unknown to the active abstract analysts, and this is not as it should be. Banach space theory has much to offer the prac titioners of analysis; unfortunately, some of the general principles that motivate the theory and make accessible many of its stunning achievements are couched in the technical jargon of the area, thereby making it unapproachable to one unwilling to spend considerable time and effort in deciphering the jargon. With this in mind, I have concentrated on presenting what I believe are basic phenomena in Banach spaces that any analyst can appreciate, enjoy, and perhaps even use. The topics covered have at least one serious omission: the beautiful and powerful theory of type and cotype. To be quite frank, I could not say what I wanted to say about this subject without increasing the length of the text by at least 75 percent. Even then, the words would not have done as much good as the advice to seek out the rich Seminaire Maurey-Schwartz lecture notes, wherein the theory's development can be traced from its conception. Again, the treasured volumes of Lindenstrauss and Tzafriri also present much of the theory of type and cotype and are must reading for those really interested in Banach space theory.
Author | : Joe Diestel |
Publisher | : American Mathematical Soc. |
Total Pages | : 338 |
Release | : 2014-04-23 |
Genre | : Mathematics |
ISBN | : 1470409356 |
Download The Joys of Haar Measure Book in PDF, ePub and Kindle
From the earliest days of measure theory, invariant measures have held the interests of geometers and analysts alike, with the Haar measure playing an especially delightful role. The aim of this book is to present invariant measures on topological groups, progressing from special cases to the more general. Presenting existence proofs in special cases, such as compact metrizable groups, highlights how the added assumptions give insight into just what the Haar measure is like; tools from different aspects of analysis and/or combinatorics demonstrate the diverse views afforded the subject. After presenting the compact case, applications indicate how these tools can find use. The generalisation to locally compact groups is then presented and applied to show relations between metric and measure theoretic invariance. Steinlage's approach to the general problem of homogeneous action in the locally compact setting shows how Banach's approach and that of Cartan and Weil can be unified with good effect. Finally, the situation of a nonlocally compact Polish group is discussed briefly with the surprisingly unsettling consequences indicated. The book is accessible to graduate and advanced undergraduate students who have been exposed to a basic course in real variables, although the authors do review the development of the Lebesgue measure. It will be a stimulating reference for students and professors who use the Haar measure in their studies and research.
Author | : Benavides Tomas Dominguez |
Publisher | : World Scientific |
Total Pages | : 209 |
Release | : 2008 |
Genre | : Mathematics |
ISBN | : 9812818456 |
Download Advanced Courses of Mathematical Analysis III Book in PDF, ePub and Kindle
This volume comprises a collection of articles by leading researchers in mathematical analysis. It provides the reader with an extensive overview of the present-day research in different areas of mathematical analysis (complex variable, harmonic analysis, real analysis and functional analysis) that holds great promise for current and future developments. These review articles are highly useful for those who want to learn about these topics, as many results scattered in the literature are reflected through the many separate papers featured herein.