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＜電子ブック＞
Functional Analysis I : Linear Functional Analysis / by Yu.I. Lyubich ; edited by N.K. Nikol'skij
(Encyclopaedia of Mathematical Sciences ; 19)

版	1st ed. 1992.
出版者	Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
出版年	1992
本文言語	英語
大きさ	V, 286 p : online resource
冊子体	Linear functional analysis / N.K. Nikol'skij (ed.) ; : gw,: us
著者標目	*Lyubich, Yu.I author Nikol'skij, N.K editor SpringerLink (Online service)
件　名	LCSH:Mathematical analysis FREE:Analysis
一般注記	1. Classical Concrete Problems -- 2. Foundations and Methods -- Commentary on the Bibliography -- Author Index Up to a certain time the attention of mathematicians was concentrated on the study of individual objects, for example, specific elementary functions or curves defined by special equations. With the creation of the method of Fourier series, which allowed mathematicians to work with 'arbitrary' functions, the individual approach was replaced by the 'class' approach, in which a particular function is considered only as an element of some 'function space'. More or less simultane­ ously the development of geometry and algebra led to the general concept of a linear space, while in analysis the basic forms of convergence for series of functions were identified: uniform, mean square, pointwise and so on. It turns out, moreover, that a specific type of convergence is associated with each linear function space, for example, uniform convergence in the case of the space of continuous functions on a closed interval. It was only comparatively recently that in this connection the general idea of a linear topological space (L TS)l was formed; here the algebraic structure is compatible with the topological structure in the sense that the basic operations (addition and multiplication by a scalar) are continuous Accessibility summary: This PDF is not accessible. It is based on scanned pages and does not support features such as screen reader compatibility or described non-text content (images, graphs etc). However, it likely supports searchable and selectable text based on OCR (Optical Character Recognition). Users with accessibility needs may not be able to use this content effectively. Please contact us at accessibilitysupport@springernature.com if you require assistance or an alternative format Inaccessible, or known limited accessibility No reading system accessibility options actively disabled Publisher contact for further accessibility information: accessibilitysupport@springernature.com HTTP:URL=https://doi.org/10.1007/978-3-662-02849-0

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