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Titlebook: Lectures on Functional Analysis and the Lebesgue Integral; Vilmos Komornik Textbook 2016 Springer-Verlag London 2016 Functional analysis.H

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書目名稱Lectures on Functional Analysis and the Lebesgue Integral
編輯Vilmos Komornik
視頻videohttp://file.papertrans.cn/584/583513/583513.mp4
概述Develops functional analysis in an original way, motivated by natural examples of plane geometry.Provides many examples and counterexamples to help the reader understand the meaning, usefulness and op
叢書名稱Universitext
圖書封面Titlebook: Lectures on Functional Analysis and the Lebesgue Integral;  Vilmos Komornik Textbook 2016 Springer-Verlag London 2016 Functional analysis.H
描述.This textbook, based on three series of lectures held by the author at the University of Strasbourg, presents functional analysis in a non-traditional way by generalizing elementary theorems of plane geometry to spaces of arbitrary dimension. This approach leads naturally to the basic notions and theorems. Most results are illustrated by the small ?.p. spaces. The Lebesgue integral, meanwhile, is treated via the direct approach of Frigyes Riesz, whose constructive definition of measurable functions leads to optimal, clear-cut versions of the classical theorems of Fubini-Tonelli and Radon-Nikodym...Lectures on Functional Analysis and the Lebesgue Integral. presents the most important topics for students, with short, elegant proofs. The exposition style follows the Hungarian mathematical tradition of Paul Erd?s and others. The order of the first two parts, functional analysis and the Lebesgue integral, may be reversed. In the third and final part they arecombined to study various spaces of continuous and integrable functions. Several beautiful, but almost forgotten, classical theorems are also included...Both undergraduate and graduate students in pure and applied mathematics, physi
出版日期Textbook 2016
關(guān)鍵詞Functional analysis; Hilbert space; normed space; Banach space; dual space; weak convergence; reflexivity;
版次1
doihttps://doi.org/10.1007/978-1-4471-6811-9
isbn_softcover978-1-4471-6810-2
isbn_ebook978-1-4471-6811-9Series ISSN 0172-5939 Series E-ISSN 2191-6675
issn_series 0172-5939
copyrightSpringer-Verlag London 2016
The information of publication is updating

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0172-5939 to help the reader understand the meaning, usefulness and op.This textbook, based on three series of lectures held by the author at the University of Strasbourg, presents functional analysis in a non-traditional way by generalizing elementary theorems of plane geometry to spaces of arbitrary dimensi
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Vilmos Komornikof matter’s internal and external relationships. The art of sculpture, as studio, womb and laboratory for matter, has contributed handsomely to this process. Sculpture, in the broadest sense of the word and in terms of the range of matter and subject matter it deploys, has over the past century expa
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Vilmos Komornikhaftlicher Bedeutung gewonnen. Parallel zur Vermehrung von Medienangeboten und -inhalten stieg auch das ?ffentliche Interesse an den Medien selbst. Daher informieren Medien auch zunehmend über Medien, das hei?t sie nehmen sich selbst zum Thema. Die Medienberichterstattung über Medien breitete sich z
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