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Titlebook: Applied Functional Analysis; a A. V. Balakrishnan Book 1981Latest edition Springer-Verlag New York Inc. 1981 Analysis.Hilbert space.Hilbert

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期刊全称Applied Functional Analysis
期刊简称a
影响因子2023A. V. Balakrishnan
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学科分类Stochastic Modelling and Applied Probability
图书封面Titlebook: Applied Functional Analysis; a A. V. Balakrishnan Book 1981Latest edition Springer-Verlag New York Inc. 1981 Analysis.Hilbert space.Hilbert
影响因子In preparing the second edition, I have taken advantage of the opportunity to correct errors as well as revise the presentation in many places. New material has been included, in addition, reflecting relevant recent work. The help of many colleagues (and especially Professor J. Stoer) in ferreting out errors is gratefully acknowledged. I also owe special thanks to Professor v. Sazonov for many discussions on the white noise theory in Chapter 6. February, 1981 A. V. BALAKRISHNAN v Preface to the First Edition The title "Applied Functional Analysis" is intended to be short for "Functional analysis in a Hilbert space and certain of its applications," the applications being drawn mostly from areas variously referred to as system optimization or control systems or systems analysis. One of the signs of the times is a discernible tilt toward application in mathematics and conversely a greater level of mathematical sophistication in the application areas such as economics or system science, both spurred undoubtedly by the heightening pace of digital computer usage. This book is an entry into this twilight zone. The aspects of functional analysis treated here are rapidly becoming essential
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发表于 2025-3-21 21:47:11 | 显示全部楼层
https://doi.org/10.1007/978-1-4612-5865-0Analysis; Hilbert space; Hilbertscher Raum; Optimierung; calculus; functional analysis
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978-1-4612-5867-4Springer-Verlag New York Inc. 1981
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Dianjun Sun,Shuqiu Sun,Hongqi Feng,Jie Hout is fairly complete in itself, this chapter is necessarily brief in many areas and the reader would find it helpful to have had an elementary introduction to linear spaces, and Hilbert spaces in particular, such as one finds in the standard texts on real analysis.
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Convex Sets and Convex Programming,iational problems for convex functions over convex sets, central to which are the Kuhn-Tucker theorem and the minimax theorem of von Neumann, which in turn are based on the “separation” theorems for convex sets. A related result is the Farkas lemma in finite dimensions which finds application in network flow problems.
发表于 2025-3-23 06:13:07 | 显示全部楼层
Functions, Transformations, Operators,pics included, as for example the theory of Hilbert-Schmidt and Nuclear and Volterra operators, whereas the spectral representation theory of self adjoint operators has been limited to compact operators. Examples illustrating the theory are included as often as possible.
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