巴拿赫空间讲义(英文版) [Topics in Banach Space Theory]

巴拿赫空间讲义(英文版) [Topics in Banach Space Theory] 下载 mobi epub pdf 电子书 2024


简体网页||繁体网页
[美] 阿尔比亚克(Fernando Albiac),Nigel J.Kalton 著



点击这里下载
    


想要找书就要到 图书大百科
立刻按 ctrl+D收藏本页
你会得到大惊喜!!

发表于2024-11-09

类似图书 点击查看全场最低价

图书介绍

出版社: 世界图书出版公司
ISBN:9787510048043
版次:1
商品编码:11142969
包装:平装
外文名称:Topics in Banach Space Theory
开本:24开
出版时间:2012-09-01
用纸:胶版纸
页数:188
正文语种:英文


相关图书





图书描述

内容简介

  This book grew out of a one-semester course given by the second author in 2001 and a subsequent two-semester course in 2004-2005, both at the University of Missouri-Columbia. The text is intended for a graduate student who has already had a basic introduction to functional analysis; the'aim is to give a reasonably brief and self-contained introduction to classical Banach space theory.
  Banach space theory has advanced dramatically in the last 50 years and we believe that the techniques that have been developed are very powerful and should be widely disseminated amongst analysts in general and not restricted to a small group of specialists. Therefore we hope that this book will also prove of interest to an audience who may not wish to pursue research in this area but still would like to understand what is known about the structure of the classical spaces.
  Classical Banach space theory developed as an attempt to answer very natural questions on the structure of Banach spaces; many of these questions date back to the work of Banach and his school in Lvov. It enjoyed, perhaps, its golden period between 1950 and 1980, culminating in the definitive books by Lindenstrauss and Tzafriri [138] and [139], in 1977 and 1979 respectively. The subject is still very much alive but the reader will see that much of the basic groundwork was done in this period.
  At the same time, our aim is to introduce the student to the fundamental techniques available to a Banach space theorist. As an example, we spend much of the early chapters discussing the use of Schauder bases and basic sequences in the theory. The simple idea of extracting basic sequences in order to understand subspace structure has become second-nature in the subject, and so the importance of this notion is too easily overlooked.
  It should be pointed out that this book is intended as a text for graduate students, not as a reference work, and we have selected material with an eye to what we feel can be appreciated relatively easily in a quite leisurely two-semester course. Two of the most spectacular discoveries in this area during the last 50 years are Enfio's solution of the basis problem [54] and the Gowers-Maurey solution of the unconditional basic sequence problem [71]. The reader will find discussion of these results but no presentation. Our feeling, based on experience, is that detouring from the development of the theory to present lengthy and complicated counterexamples tends to break up the flow of the course. We prefer therefore to present only relatively simple and easily appreciated counterexamples such as the James space and Tsirelson's space. We also decided, to avoid disruption, that some counterexamples of intermediate difficulty should be presented only in the last optional chapter and not in the main body of the text.

内页插图

目录



;



;





前言/序言



巴拿赫空间讲义(英文版) [Topics in Banach Space Theory] 下载 mobi epub pdf txt 电子书 格式

巴拿赫空间讲义(英文版) [Topics in Banach Space Theory] mobi 下载 pdf 下载 pub 下载 txt 电子书 下载 2024

巴拿赫空间讲义(英文版) [Topics in Banach Space Theory] 下载 mobi pdf epub txt 电子书 格式 2024

巴拿赫空间讲义(英文版) [Topics in Banach Space Theory] 下载 mobi epub pdf 电子书
想要找书就要到 图书大百科
立刻按 ctrl+D收藏本页
你会得到大惊喜!!

用户评价

评分

留着查资料用。很多东西不错的

评分

评分

完备的线性赋范空间称为巴拿赫空间。是用波兰数学家巴拿赫(Stefan Banach )的名字命名的。

评分

许多在数学分析中学到的无限维函数空间都是巴拿赫空间,包括由连续函数(紧致赫斯多夫空间上的连续函数)组成的空间、由勒贝格可积函数组成的L空间及由全纯函数组成的哈代空间。上述空间是拓扑矢量空间中最常见的类型,这些空间的拓扑都自来其范数。

评分

Springer的GTM系列是研究生数学专著!专家名著!推荐!

评分

纸张一般,发黄,而且还有烂了的

评分

评分

评分

完备的线性赋范空间称为巴拿赫空间。是用波兰数学家巴拿赫(Stefan Banach )的名字命名的。

类似图书 点击查看全场最低价

巴拿赫空间讲义(英文版) [Topics in Banach Space Theory] mobi epub pdf txt 电子书 格式下载 2024


分享链接








相关图书


本站所有内容均为互联网搜索引擎提供的公开搜索信息,本站不存储任何数据与内容,任何内容与数据均与本站无关,如有需要请联系相关搜索引擎包括但不限于百度google,bing,sogou

友情链接

© 2024 book.teaonline.club All Rights Reserved. 图书大百科 版权所有