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＜電子ブック＞
Functional Analysis / by S. Kesavan
(Texts and Readings in Mathematics ; 52)

版	1st ed. 2009.
出版者	Gurgaon : Hindustan Book Agency : Imprint: Hindustan Book Agency
出版年	2009
大きさ	282 p : online resource
著者標目	*Kesavan, S author SpringerLink (Online service)
件　名	LCSH:Mathematics FREE:Mathematics
一般注記	The material presented in this book is suited for a first course in Functional Analysis which can be followed by Masters students. While covering all the standard material expected of such a course, efforts have been made to illustrate the use of various theorems via examples taken from differential equations and the calculus of variations, either through brief sections or through exercises. In fact, this book will be particularly useful for students who would like to pursue a research career in the applications of mathematics. The book includes a chapter on weak and weak topologies and their applications to the notions of reflexivity, separability and uniform convexity. The chapter on the Lebesgue spaces also presents the theory of one of the simplest classes of Sobolev spaces. The book includes a chapter on compact operators and the spectral theory for compact self-adjoint operators on a Hilbert space. Each chapter has large collection of exercises at the end. These illustrate the results of the text, show the optimality of the hypotheses of various theorems via examples or counterexamples, or develop simple versions of theories not elaborated upon in the text HTTP:URL=https://doi.org/10.1007/978-93-86279-42-2

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