Functional Analysis (Springer Classics in Mathematics) by Kösaku Yosida (PDF)

Description

The 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 in function spaces together with salient features of its application to diverse fields of modern and classical analysis. Necessary prerequisites for the reading of this book are summarized, with or without proof, in Chapter 0 under titles: Set Theory, Topo­ logical 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 mathe­ maticians, both pure and applied. The reader may pass, e. g. , from Chapter 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.

User’s Reviews

Editorial Reviews: About the Author Biography of Kôsaku YosidaKôsaku Yosida (7.2.1909-20.6.1990) was born in Hiroshima, Japan. After studying mathematics a the University of Tokyo he held posts at Osaka and Nagoya Universities before returning to the University of Tokyo in 1955.Yosida obtained important and fundamental results in functional analysis and probability. He is best remembered for his joint work with E. Hille which brought forth a theory of semigroups of operators successfully applied to diffusion equations, Markov processes, hyperbolic equations and potential theory. His famous textbook on Functional Analysis was published in 6 distinct editions between 1965 and 1980.

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐Good reference!

⭐One of the best test for functional analysis. Full of topics

⭐good

⭐関数解析 共立数学講座 (15)

⭐を勉強して参考文献に乗っていたので、買ってみたが辞書のようなものだった。この本が出版された時代的背景を考えると仕方ないのかもしれないが、作用素環に関する話は今の所なさそうだ。ただ、内容は豊富なので、解析学（特に関数解析）を勉強するなら持っていても損はしない。関数解析は和書洋書に多くの優れた本がある（例えば和書なら関数解析 共立数学講座 (15)

⭐や絶版ではあるが関数解析 (岩波基礎数学選書)

⭐がある）ので、数学科の為であったり、工学系だったり物理系だったり自分にあった本を選んだ方がいいと思う。2018/8/12追記関数解析 (岩波基礎数学選書)

⭐が復刊したので、自分の好きな方を買うことをお勧めする。

⭐

Keywords

Free Download Functional Analysis (Springer Classics in Mathematics) in PDF format
Functional Analysis (Springer Classics in Mathematics) PDF Free Download
Download Functional Analysis (Springer Classics in Mathematics) 1995 PDF Free
Functional Analysis (Springer Classics in Mathematics) 1995 PDF Free Download
Download Functional Analysis (Springer Classics in Mathematics) PDF
Free Download Ebook Functional Analysis (Springer Classics in Mathematics)