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Titlebook: Introduction to Functional Analysis; Christian Clason Textbook 20201st edition Springer Nature Switzerland AG 2020 normed vector space.lin

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书目名称Introduction to Functional Analysis
编辑Christian Clason
视频video
概述Presents essential knowledge in a compact format.Concentrates on the theoretical fundamentals relevant to applied mathematics.Includes carefully chosen examples and exercises
丛书名称Compact Textbooks in Mathematics
图书封面Titlebook: Introduction to Functional Analysis;  Christian Clason Textbook 20201st edition Springer Nature Switzerland AG 2020 normed vector space.lin
描述.Functional analysis has become one of the essential foundations of modern applied mathematics in the last decades, from the theory and numerical solution of differential equations, from optimization and probability theory to medical imaging and mathematical image processing.. . This textbook offers a compact introduction to the theory and is designed to be used during one semester, fitting exactly 26 lectures of 90 minutes each. It ranges from the topological fundamentals recalled from basic lectures on real analysis to spectral theory in Hilbert spaces. Special attention is given to the central results on dual spaces and weak convergence..
出版日期Textbook 20201st edition
关键词normed vector space; linear operators; dual space; weak convergence; spectrum
版次1
doihttps://doi.org/10.1007/978-3-030-52784-6
isbn_softcover978-3-030-52783-9
isbn_ebook978-3-030-52784-6Series ISSN 2296-4568 Series E-ISSN 2296-455X
issn_series 2296-4568
copyrightSpringer Nature Switzerland AG 2020
The information of publication is updating

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mum drain current is found in range the 1 nA (T. = 4 mm and at 77 K) to 3.5 μA (T. = 1 mm and at 400 K) for Aluminum island and 2e-4 pA (T. = 2 mm and at 77 K) to 0.35 nA (T. = 1 mm and at 400 K) for Polysilicon island. Mathematical analysis for CB has been done for the above-mentioned temperatures
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The Uniform Boundedness Principle space hold in fact uniformly. Starting from Baire’s theorem, this chapter covers some of the main theorems of functional analysis: the Banach–Steinhaus theorem, the open mapping theorem, the bounded inverse theorem, and the closed graph theorem.
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The Spectrumppings need not have eigenvalues, which requires a more careful definition. The main result in this chapter shows that compact operators on Banach spaces always have finitely or countably many eigenvalues.
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