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Titlebook: Linear Functional Analysis for Scientists and Engineers; Balmohan V. Limaye Textbook 2016 Springer Science+Business Media Singapore 2016 A

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发表于 2025-3-21 19:08:11 | 显示全部楼层 |阅读模式
书目名称Linear Functional Analysis for Scientists and Engineers
编辑Balmohan V. Limaye
视频video
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Titlebook: Linear Functional Analysis for Scientists and Engineers;  Balmohan V. Limaye Textbook 2016 Springer Science+Business Media Singapore 2016 A
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
doihttps://doi.org/10.1007/978-981-10-0972-3
isbn_softcover978-981-10-9298-5
isbn_ebook978-981-10-0972-3
copyrightSpringer Science+Business Media Singapore 2016
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uct space.Includes a result by Zabreiko, which is used to deThis 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 analy
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Spectral Theory, particularly interesting results when the operator . is ‘well behaved’ with respect to the adjoint operation. In the last section of this chapter, we show how a compact self-adjoint operator can be represented in terms of its eigenvalues and eigenvectors. This is used in obtaining explicit solutions of operator equations.
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976 are brought together in this volume. After the successful meetings in Hannover and Lund the feeling of the Advisory Board was. that the third meeting should have more clinical implications. and therefore 7 out of the 10 Sessions deal with clinical problems. That there is still a growing interest
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Balmohan V. Limaye4, 1979. Divided into 12 sessions, they reflect the most recent developments in areas such as head injuries, pressure­ volume studies, cerebrovascular complications, intracranial hemor­ rhage, brain edema, systemic factors and infectious processes, data recording and analysis, CSF formation and abso
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