书目名称 | Linear Functional Analysis for Scientists and Engineers |
编辑 | Balmohan V. Limaye |
视频video | http://file.papertrans.cn/587/586321/586321.mp4 |
概述 | Provides a concise introduction to linear functional analysis.Presents results in the basic framework of a normed space and of an inner product space.Includes a result by Zabreiko, which is used to de |
图书封面 |  |
描述 | This book provides a concise and meticulous introduction to functional analysis. Since the topic draws heavily on the interplay between the algebraic structure of a linear space and the distance structure of a metric space, functional analysis is increasingly gaining the attention of not only mathematicians but also scientists and engineers. The purpose of the text is to present the basic aspects of functional analysis to this varied audience, keeping in mind the considerations of applicability. A novelty of this book is the inclusion of a result by Zabreiko, which states that every countably subadditive seminorm on a Banach space is continuous. Several major theorems in functional analysis are easy consequences of this result..The entire book can be used as a textbook for an introductory course in functional analysis without having to make any specific selection from the topics presented here. Basic notions in the setting of a metric space are defined interms of sequences. These include total boundedness, compactness, continuity and uniform continuity. Offering concise and to-the-point treatment of each topic in the framework of a normed space and of an inner product space, the bo |
出版日期 | Textbook 2016 |
关键词 | Adjoint of a Bounded Linear Map; Approximate Eigenspectrum; Banach Space; Bounded Inverse Theorem; Bound |
版次 | 1 |
doi | https://doi.org/10.1007/978-981-10-0972-3 |
isbn_softcover | 978-981-10-9298-5 |
isbn_ebook | 978-981-10-0972-3 |
copyright | Springer Science+Business Media Singapore 2016 |