he present book is based on lectures given by the author at the University of Tokyo during the past ten years. It is intended as a textbook to be studied by students on their own or to be used in a course on Functional Analysis, i.e., the general theory of linear operators infunction spaces together with salient features of its application to diverse fields of modem and classical analysis. Necessary prerequisites for the reading of this book are summarized,with or without proof, in Chapter 0 under titles: Set Theory, Topological Spaces, Measure Spaces and Linear Spaces. Then, starting with the chapter on Semi-norms, a general theory of Banach and Hilbert spaces is presented in connection with the theory of generalized functions of S. L. SOBOLEV and L. SCHWARTZ. While the book is primarily addressed to graduate students, it is hoped it might prove useful to research mathematicians, both pure and applied. The reader may pass, e.g., fromChapter IX (Analytical Theory. of Semi-groups) directly to Chapter XIII (Ergodic Theory and Diffusion Theory) and to Chapter XIV (Integration of the Equation of Evolution). Such materials as "Weak Topologies and Duality in Locally Convex Spaces" and "Nuclear Spaces" are presented in the form of the appendices to Chapter V and Chapter X,respectively. These might be skipped for the first reading by those who are interested rather in the application of linear operators.
具體描述
讀後感
说实话，这本书真的很难。 作者一直秉承着这样一种思想，即抽象的理论总是在为我们更好地理解事物来服务。这本书充满了抽象的函数空间理论在微分方程、积分方程上面的应用。细读之下，引人入胜。
評分说实话，这本书真的很难。 作者一直秉承着这样一种思想，即抽象的理论总是在为我们更好地理解事物来服务。这本书充满了抽象的函数空间理论在微分方程、积分方程上面的应用。细读之下，引人入胜。
評分说实话，这本书真的很难。 作者一直秉承着这样一种思想，即抽象的理论总是在为我们更好地理解事物来服务。这本书充满了抽象的函数空间理论在微分方程、积分方程上面的应用。细读之下，引人入胜。
評分说实话，这本书真的很难。 作者一直秉承着这样一种思想，即抽象的理论总是在为我们更好地理解事物来服务。这本书充满了抽象的函数空间理论在微分方程、积分方程上面的应用。细读之下，引人入胜。
評分说实话，这本书真的很难。 作者一直秉承着这样一种思想，即抽象的理论总是在为我们更好地理解事物来服务。这本书充满了抽象的函数空间理论在微分方程、积分方程上面的应用。细读之下，引人入胜。
用戶評價
算是老書，老師們都是推薦它，確實寫的有與眾不同的感覺
评分老闆的菜
评分一本讓我賠圖書館差點傾傢蕩産的書。
评分其實認真讀過的是這本的一個縮略本，大概隻有兩三百頁，主要內容差不多，感覺更適閤本科生讀，伍洪熙在他的書裏麵也推薦過，至於這本實在是有點兒厚瞭。。。
评分一本讓我賠圖書館差點傾傢蕩産的書。
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