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
說實話，這本書真的很難。 作者一直秉承著這樣一種思想，即抽象的理論總是在為我們更好地理解事物來服務。這本書充滿瞭抽象的函數空間理論在微分方程、積分方程上麵的應用。細讀之下，引人入勝。
評分說實話，這本書真的很難。 作者一直秉承著這樣一種思想，即抽象的理論總是在為我們更好地理解事物來服務。這本書充滿瞭抽象的函數空間理論在微分方程、積分方程上麵的應用。細讀之下，引人入勝。
評分說實話，這本書真的很難。 作者一直秉承著這樣一種思想，即抽象的理論總是在為我們更好地理解事物來服務。這本書充滿瞭抽象的函數空間理論在微分方程、積分方程上麵的應用。細讀之下，引人入勝。
評分說實話，這本書真的很難。 作者一直秉承著這樣一種思想，即抽象的理論總是在為我們更好地理解事物來服務。這本書充滿瞭抽象的函數空間理論在微分方程、積分方程上麵的應用。細讀之下，引人入勝。
評分說實話，這本書真的很難。 作者一直秉承著這樣一種思想，即抽象的理論總是在為我們更好地理解事物來服務。這本書充滿瞭抽象的函數空間理論在微分方程、積分方程上麵的應用。細讀之下，引人入勝。
用戶評價
一本讓我賠圖書館差點傾傢蕩産的書。
评分老闆的菜
评分算是老書，老師們都是推薦它，確實寫的有與眾不同的感覺
评分個人感覺適閤給研究生來看。。
评分deng god once said: this is a good book
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