The Existence of Value in Differential Games (Memoirs ; No 1/26)

Science & Math

Kalton, Nigel J.

Elliott, Robert J.

Mathematics

Amer Mathematical Society

This book emphasizes the isomorphic theory of Banach spaces and techniques using the unifying viewpoint of basic sequences. Its aim is to provide the reader with the necessary technical tools and background to reach the frontiers of research without the introduction of too many extraneous concepts. Detailed and accessible proofs are included, as are a variety of exercises and problems.

Topics in Banach Space Theory (Graduate Texts in Mathematics, 233)

Albiac, Fernando

Springer

<p>Based on a graduate course by the celebrated analyst Nigel Kalton, this well-balanced introduction to functional analysis makes clear not only <i>how</i>, but <i>why</i>, the field developed. All major topics belonging to a first course in functional analysis are covered. However, unlike traditional introductions to the subject, Banach spaces are emphasized over Hilbert spaces, and many details are presented in a novel manner, such as the proof of the Hahn<b>–</b>Banach theorem based on an inf-convolution technique, the proof of Schauder's theorem, and the proof of the Milman<b>–</b>Pettis theorem.</p>
<p>With the inclusion of many illustrative examples and exercises, <i>An Introductory Course in Functional Analysis</i> equips the reader to apply the theory and to master its subtleties. It is therefore well-suited as a textbook for a one- or two-semester introductory course in functional analysis or as a companion for independent study.</p>

An Introductory Course in Functional Analysis (Universitext)

Bowers, Adam

<p>This text provides the reader with the necessary technical tools and background to reach the frontiers of research without the introduction of too many extraneous concepts. Detailed and accessible proofs are included, as are a variety of exercises and problems. The two new chapters in this second edition are devoted to two topics of much current interest amongst functional analysts: Greedy approximation with respect to bases in Banach spaces and nonlinear geometry of Banach spaces.  This new material is intended to present  these two directions of research for their intrinsic importance within Banach space theory, and to motivate graduate students interested in learning more about them.</p>
<br>This textbook assumes only a basic knowledge of functional analysis, giving the reader a self-contained overview of the ideas and techniques in the development of modern Banach space theory. Special emphasis is placed on the study of the classical Lebesgue spaces Lp (and their sequence space analogues) and spaces of continuous functions. The authors also stress the use of bases and basic sequences techniques as a tool for understanding the isomorphic structure of Banach spaces.<br><br><b>From the reviews of the First Edition</b>:<br>"The authors of the book…succeeded admirably in creating a very helpful text, which contains essential topics with optimal proofs, while being reader friendly… It is also written in a lively manner, and its involved mathematical proofs are elucidated and illustrated by motivations, explanations and occasional historical comments… I strongly recommend to every graduate student who wants to get acquainted with this exciting part of functional analysis the instructive and pleasant reading of this book…"―Gilles Godefroy, <b>Mathematical Reviews</b>

<p><p>This text provides the reader with the necessary technical tools and background to reach the frontiers of research without the introduction of too many extraneous concepts. Detailed and accessible proofs are included, as are a variety of exercises and problems. The two new chapters in this second edition are devoted to two topics of much current interest amongst functional analysts: Greedy approximation with respect to bases in Banach spaces and nonlinear geometry of Banach spaces. &nbsp;This new material is intended to present &nbsp;these two directions of research for their intrinsic importance within Banach space theory, and to motivate graduate students interested in learning more about them.</p> <div><br /></div> This textbook assumes only a basic knowledge of functional analysis, giving the reader a self-contained overview of the ideas and techniques in the development of modern Banach space theory. Special emphasis is placed on the study of the classical Lebesgue spaces Lp (and their sequence space analogues) and spaces of continuous functions. The authors also stress the use of bases and basic sequences techniques as a tool for understanding the isomorphic structure of Banach spaces.<br /> <div><br /></div> <div> <div><b>From the reviews of the First Edition</b>:</div> <div><br /></div> <div>"The authors of the book...succeeded admirably in creating a very helpful text, which contains essential topics with optimal proofs, while being reader friendly... It is also written in a lively manner, and its involved mathematical proofs are elucidated and illustrated by motivations, explanations and occasional historical comments... I strongly recommend to every graduate student who wants to get acquainted with this exciting part of functional analysis the instructive and pleasant reading of this book..."</div> <div>--Gilles Godefroy,&nbsp;<b>Mathematical Reviews</b></div> </div></p>

See the best price to sell, buy, or rent books by Kalton, Nigel J.. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by Kalton, Nigel J.

See the best price to sell, buy, or rent books by Kalton, Nigel J.. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

The Existence of Value in Differential Games (Memoirs ; No 1/26)

Topics in Banach Space Theory (Graduate Texts in Mathematics, 233)

An Introductory Course in Functional Analysis (Universitext)

Topics in Banach Space Theory (Graduate Texts in Mathematics, 233)

Topics in Banach Space Theory (Graduate Texts in Mathematics, 233)