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Linear Functional Analysis 2016

Linear Functional Analysis 2016

Autorzy
Wydawnictwo Springer Nature Customer Service Center GmbH
Data wydania 01/07/2016
Wydanie Pierwsze
Liczba stron 435
Forma publikacji książka w miękkiej oprawie
Poziom zaawansowania Dla szkół wyższych i kształcenia podyplomowego
Język niemiecki
ISBN 9781447172796
Kategorie Analizy funkcjonalne i przekształcenia
418.18 PLN (z VAT)
$94.07 / £77.83 / €89.66 /
Produkt na zamówienie
Dostawa 5-6 tygodni
Ilość
Do schowka

Opis książki

This book gives an introduction to Linear Functional Analysis, which is a synthesis of algebra, topology, and analysis. In addition to the basic theory it explains operator theory, distributions, Sobolev spaces, and many other things. The text is self-contained and includes all proofs, as well as many exercises, most of them with solutions. Moreover, there are a number of appendices, for example on Lebesgue integration theory. A complete introduction to the subject, Linear Functional Analysis will be particularly useful to readers who want to quickly get to the key statements and who are interested in applications to differential equations. "The volume under review deals rigorously with mathematical models of certain applicability to real world problems. From this viewpoint it is a significant contribution to a currently active area of research. ... this book will be particularly useful to readers who want to quickly get to the key statements and who are interested in applications to differential equations. ... I wholeheartedly recommend this book both as a textbook, as well as for independent study." (Vicentiu D. Radulescu, zbMATH 1358.46002, 2017)

Linear Functional Analysis 2016

Spis treści

Introduction.- Preliminaries.- Function spaces.- Subsets of function spaces.- Linear operators.- Linear functionals.- Uniform boundedness principle.- Weak convergence.- Finite-dimensional approximation.- Compact operators.- Spectrum of compact operators.- Self-adjoint operators.- References.- Symbols.- Index.

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