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Author: Marius Junge
Publisher: American Mathematical Soc.
Published: 2010
Total Pages: 168
ISBN-13: 0821846558
DOWNLOAD EBOOKContains the proof of a noncommutative analogue of the inequality for sums of free random variables over a given von Neumann subalgebra.
Author: Adrían M. González-Pérez
Publisher: American Mathematical Society
Published: 2021-11-16
Total Pages: 90
ISBN-13: 1470449374
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Publisher: ScholarlyEditions
Published: 2012-01-09
Total Pages: 1326
ISBN-13: 1464964920
DOWNLOAD EBOOKIssues in General and Specialized Mathematics Research: 2011 Edition is a ScholarlyEditions™ eBook that delivers timely, authoritative, and comprehensive information about General and Specialized Mathematics Research. The editors have built Issues in General and Specialized Mathematics Research: 2011 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about General and Specialized Mathematics Research in this eBook to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in General and Specialized Mathematics Research: 2011 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.
Author: Daniel Li
Publisher: Cambridge University Press
Published: 2018
Total Pages: 405
ISBN-13: 1107162629
DOWNLOAD EBOOKThis second volume of a two-volume overview focuses on the applications of Banach spaces and recent developments in the field.
Author: Daniel Li
Publisher: Cambridge University Press
Published: 2017-11-02
Total Pages: 405
ISBN-13: 1108298168
DOWNLOAD EBOOKThis two-volume text provides a complete overview of the theory of Banach spaces, emphasising its interplay with classical and harmonic analysis (particularly Sidon sets) and probability. The authors give a full exposition of all results, as well as numerous exercises and comments to complement the text and aid graduate students in functional analysis. The book will also be an invaluable reference volume for researchers in analysis. Volume 1 covers the basics of Banach space theory, operatory theory in Banach spaces, harmonic analysis and probability. The authors also provide an annex devoted to compact Abelian groups. Volume 2 focuses on applications of the tools presented in the first volume, including Dvoretzky's theorem, spaces without the approximation property, Gaussian processes, and more. Four leading experts also provide surveys outlining major developments in the field since the publication of the original French edition.
Author: Steve Hofmann
Publisher: American Mathematical Soc.
Published: 2011
Total Pages: 91
ISBN-13: 0821852388
DOWNLOAD EBOOKLet $X$ be a metric space with doubling measure, and $L$ be a non-negative, self-adjoint operator satisfying Davies-Gaffney bounds on $L^2(X)$. In this article the authors present a theory of Hardy and BMO spaces associated to $L$, including an atomic (or molecular) decomposition, square function characterization, and duality of Hardy and BMO spaces. Further specializing to the case that $L$ is a Schrodinger operator on $\mathbb{R}^n$ with a non-negative, locally integrable potential, the authors establish additional characterizations of such Hardy spaces in terms of maximal functions. Finally, they define Hardy spaces $H^p_L(X)$ for $p>1$, which may or may not coincide with the space $L^p(X)$, and show that they interpolate with $H^1_L(X)$ spaces by the complex method.
Author: Kalle Åström
Publisher: Springer Science & Business Media
Published: 2012-01-05
Total Pages: 355
ISBN-13: 3642202365
DOWNLOAD EBOOKThis book project was initiated at The Tribute Workshop in Honour of Gunnar Sparr and the follow-up workshop Inequalities, Interpolation, Non-commutative, Analysis, Non-commutative Geometry and Applications INANGA08, held at the Centre for Mathematical Sciences, Lund University in May and November of 2008. The resulting book is dedicated in celebration of Gunnar Sparr's sixty-fifth anniversary and more than forty years of exceptional service to mathematics and its applications in engineering and technology, mathematics and engineering education, as well as interdisciplinary, industrial and international cooperation. This book presents new advances in several areas of mathematics and engineering mathematics including applications in modern technology, engineering and life sciences. Thirteen high-quality chapters put forward many new methods and results, reviews of up to date research and open directions and problems for future research. A special chapter by Gunnar Sparr and Georg Lindgren contains a historical account and important aspects of engineering mathematics research and education, and the implementation of the highly successful education programme in Engineering Mathematics at Lund Institute of Technology, where not only the mathematical sciences have played a role. This book will serve as a source of inspiration for a broad spectrum of researchers and research students.
Author: Pascal Lefèvre
Publisher: American Mathematical Soc.
Published: 2010
Total Pages: 87
ISBN-13: 082184637X
DOWNLOAD EBOOK"The authors investigate composition operators on Hardy-Orlicz spaces when the Orlicz function Psi grows rapidly: compactness, weak compactness, to be p-summing, order bounded, ... , and show how these notions behave according to the growth of Psi. They introduce an adapted version of Carleson measure. They construct various examples showing that their results are essentially sharp. In the last part, they study the case of Bergman-Orlicz spaces."--Publisher's description.
Author: Gelu Popescu
Publisher: American Mathematical Soc.
Published: 2010
Total Pages: 137
ISBN-13: 0821847104
DOWNLOAD EBOOK"Volume 205, number 964 (third of 5 numbers)."
Author: Wilfrid Gangbo
Publisher: American Mathematical Soc.
Published: 2010
Total Pages: 90
ISBN-13: 0821849395
DOWNLOAD EBOOKLet $\mathcal{M}$ denote the space of probability measures on $\mathbb{R}^D$ endowed with the Wasserstein metric. A differential calculus for a certain class of absolutely continuous curves in $\mathcal{M}$ was introduced by Ambrosio, Gigli, and Savare. In this paper the authors develop a calculus for the corresponding class of differential forms on $\mathcal{M}$. In particular they prove an analogue of Green's theorem for 1-forms and show that the corresponding first cohomology group, in the sense of de Rham, vanishes. For $D=2d$ the authors then define a symplectic distribution on $\mathcal{M}$ in terms of this calculus, thus obtaining a rigorous framework for the notion of Hamiltonian systems as introduced by Ambrosio and Gangbo. Throughout the paper the authors emphasize the geometric viewpoint and the role played by certain diffeomorphism groups of $\mathbb{R}^D$.
