πŸ“– Theorems and Problems in Functional Analysis

Download

Theorems and Problems in Functional Analysis
By:A. A. Kirillov,A. D. Gvishiani
Published on 2012-12-06 by Springer Science & Business Media


Even the simplest mathematical abstraction of the phenomena of reality the real line-can be regarded from different points of view by different mathematical disciplines. For example, the algebraic approach to the study of the real line involves describing its properties as a set to whose elements we can apply| operations,| and obtaining an algebraic model of it on the basis of these properties, without regard for the topological properties. On the other hand, we can focus on the topology of the real line and construct a formal model of it by singling out its| continuity| as a basis for the model. Analysis regards the line, and the functions on it, in the unity of the whole system of their algebraic and topological properties, with the fundamental deductions about them obtained by using the interplay between the algebraic and topological structures. The same picture is observed at higher stages of abstraction. Algebra studies linear spaces, groups, rings, modules, and so on. Topology studies structures of a different kind on arbitrary sets, structures that give mathe matical meaning to the concepts of a limit, continuity, a neighborhood, and so on. Functional analysis takes up topological linear spaces, topological groups, normed rings, modules of representations of topological groups in topological linear spaces, and so on. Thus, the basic object of study in functional analysis consists of objects equipped with compatible algebraic and topological structures.

This Book was ranked at 38 by Google Books for keyword problem.

Book ID of Theorems and Problems in Functional Analysis's Books is OIvuBwAAQBAJ, Book which was written byA. A. Kirillov,A. D. Gvishianihave ETAG "PBWbj4g8QJk"

Book which was published by Springer Science & Business Media since 2012-12-06 have ISBNs, ISBN 13 Code is 9781461381532 and ISBN 10 Code is 1461381533

Reading Mode in Text Status is false and Reading Mode in Image Status is true

Book which have "347 Pages" is Printed at BOOK under CategoryMathematics

This Book was rated by Raters and have average rate at ""

This eBook Maturity (Adult Book) status is NOT_MATURE

Book was written in en

eBook Version Availability Status at PDF is true and in ePub is false

Book Preview


Bookmark and Share

Label

Actuarial science African Americans Algebra Applied Architecture Art arwah gaby big motor Biography and Autobiography Body Business and Economics Children's stories CNN Cognition in children Computers Constitutional history Counseling Counties Creative ability Crime CROP CIRCLE DI CIKARANG VIDEO Curriculum planning Decision making Decision-making Design Difference equations Drama Education Electronic books Eritrea Fake Ghost Picture Family and Relationships Fiction Foreign Language Study foto aneh foto gendruwo Foto Hantu Foto Hantu Indonesia foto kuntilanak foto pocong Functions of complex variables Games Games and Activities Genetics gentayangan Ghost ghost picture Ghosts Go (Game) problems Good and evil Great Britain hantu arwah hantu beneran hantu blorong hantu gaby hantu gak bugil HANTU GENDERUWO hantu gundul hantu hantu hantu Jenglot hantu kocak Hantu Kursi Goyang ngeri hantu makan hantu menangis hantu ngeri Hantu nongol hantu pelek hantu pocong hantu tidur hantu wewe foto HantuCCTV HantuCilik Kecil Hantugaby HantuGirl Ghost HantuHantu Bergentayangan HantuKuntilanak Ghost Hantukuntilanak Seram Hantumandi HAntuUFO di Italia Hantuwaktu Pembuatan film Hantuyoutube Health and Fitness History Humor in film Karma malaysia Jackson Jermaine Jackson jin pocong Juvenile delinquency Juvenile Fiction Juvenile Nonfiction Kerasukan hantu KisahLagu Hantu Gaby “Tinggal Kenangan” Koleksifoto hantu Language Arts and Disciplines Larry King Law Literary Criticism Luna maya Mathematical analysis Mathematics Mechanics Medical Michael Jackson Mind and Spirit misteri hantu Misteri kuku terpanjang Misteri Ufo Nature Neverland Outdoor recreation for children Paranormal Penampakan hantu suzanna penampakan night mare penampakan pocong Perception (Philosophy) Performing Arts Perkumpulan Rahasia Dunia Peruntungan Tahun 2009 di Zodiak Philosophy photo aneh Physics Pocong pocong gundul Political Science POLITICAL SCIENCE Presidents Privacy Policy Psychology Ramalan banjir dan gempa 2009 Ramalan Ki Kusumo 2009 Ramalan mama Lauren tahun 2009 Reference Religion Science Scientology Secret Societies sejarah april Mop Self-Help situ gintung Social Science Sports and Recreation Study Aids tali arwah pocong Technology and Engineering tinggal hantu kenangan UFO United States Vampire video ariel video hantu d'massive Videohantu weird photos Young Adult Nonfiction YouTube