书目名称 | Functional Analysis |
副标题 | Second Edition |
编辑 | S. Kesavan |
视频video | |
概述 | Contains the complete course on functional analysis with applications.Provides plenty of exercises and solved examples, of varying degrees of difficulty, in each chapter.Discusses extension and geomet |
丛书名称 | Texts and Readings in Mathematics |
图书封面 |  |
描述 | This second edition is thoroughly revised and includes several new examples and exercises. Proofs of many results have been rewritten for a greater clarity. While covering all the standard material expected of such a course, efforts have been made to illustrate the use of the topics to study differential equations and calculus of variations. The book includes a chapter on weak topologies and their applications. It also includes a chapter on the Lebesgue spaces, which discusses Sobolev spaces. The book includes a chapter on compact operators and their spectra, especially for compact self-adjoint operators on a Hilbert space. Each chapter has a large collection of exercises in the end, which give additional examples and counterexamples to the results given in the text. This book is suitable for a first course in functional analysis for graduate students who wish to pursue a career in the applications of mathematics. |
出版日期 | Textbook 2023Latest edition |
关键词 | functional analysis; Banach spaces; Hilbert spaces; normed linear spaces; inear operators; compact operat |
版次 | 2 |
doi | https://doi.org/10.1007/978-981-19-7633-9 |
isbn_ebook | 978-981-19-7633-9Series ISSN 2366-8717 Series E-ISSN 2366-8725 |
issn_series | 2366-8717 |
copyright | Hindustan Book Agency 2023 |