In the quarter century since the first edition of this book appeared, tremendous development has occurred in operator theory and the topics covered here. However, the new edition remains unchanged except that several mistakes and typographical errors have been corrected. Further, a brief report on the current state of the doubleasterisk, open, problems is given along with refer...(展开全部)

In the quarter century since the first edition of this book appeared, tremendous development has occurred in operator theory and the topics covered here. However, the new edition remains unchanged except that several mistakes and typographical errors have been corrected. Further, a brief report on the current state of the doubleasterisk, open, problems is given along with refer...(展开全部)

《线性算子理论》是著名波兰数学家S.Banach的经典著作Theorie des Operations Lineaires的中译本，并包括A.Pelczynski和Cz.Bessaga的综合报告：Banach空间现代理论的某些方面。主要介绍Banaeh空间中的线性算子理论及相关问题，它是泛函分析的重要组成部分。《线性算子理论》共分12章，包括引言、附录和附注以及综合报告。主要内容有：距离空间、一般向量空间、Banach空间和F空间、线性算子、线性泛函与线性泛函方程、双正交序列与弱收敛序列、等距与同构理论、线性维数，以及Banaeh空间现代理论中的Banaeh空间局部性质、逼近性质与基、Banaeh空间类中的Hilbert空间表征等。 《线性算子理论》可作为数学专业泛函分析方向研究生、教师的参考书，也可供相关领域的科研工作者阅读。

《线性算子理论》是著名波兰数学家S.Banach的经典著作Theorie des Operations Lineaires的中译本，并包括A.Pelczynski和Cz.Bessaga的综合报告：Banach空间现代理论的某些方面。主要介绍Banaeh空间中的线性算子理论及相关问题，它是泛函分析的重要组成部分。《线性算子理论》共分12章，包括引言、附录和附注以及综合报告。主要内容有：距离空间、一般向量空间、Banach空间和F空间、线性算子、线性泛函与线性泛函方程、双正交序列与弱收敛序列、等距与同构理论、线性维数，以及Banaeh空间现代理论中的Banaeh空间局部性质、逼近性质与基、Banaeh空间类中的Hilbert空间表征等。 《线性算子理论》可作为数学专业泛函分析方向研究生、教师的参考书，也可供相关领域的科研工作者阅读。

该书是算子代数一套三册中的第一分册，重点介绍了理论分析和拓扑方面的知识，同时使得读者容易掌握局部紧空间上算子代数和测度论之间的联系。

Since the study of normed spaces for their own sake evolved rather than arose fully formed, there is some room to disagree about who founded the field. Albert Bennett came close to giving the definition of a normed space in a 1916 paper [23] on an extension of Newton's method for finding roots, and in 1918 Frederic Riesz [195] based a generalization of the Fredholm theory of in...(展开全部)

Since the study of normed spaces for their own sake evolved rather than arose fully formed, there is some room to disagree about who founded the field. Albert Bennett came close to giving the definition of a normed space in a 1916 paper [23] on an extension of Newton's method for finding roots, and in 1918 Frederic Riesz [195] based a generalization of the Fredholm theory of in...(展开全部)