Mixed-Norm Inequalities and Operator Space $L_p$ Embedding Theory

Mixed-Norm Inequalities and Operator Space $L_p$ Embedding Theory PDF Author: Marius Junge
Publisher: American Mathematical Soc.
ISBN: 0821846558
Category : Banach spaces
Languages : en
Pages : 168

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Book Description
Contains the proof of a noncommutative analogue of the inequality for sums of free random variables over a given von Neumann subalgebra.

Mixed-Norm Inequalities and Operator Space $L_p$ Embedding Theory

Mixed-Norm Inequalities and Operator Space $L_p$ Embedding Theory PDF Author: Marius Junge
Publisher: American Mathematical Soc.
ISBN: 0821846558
Category : Banach spaces
Languages : en
Pages : 168

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Book Description
Contains the proof of a noncommutative analogue of the inequality for sums of free random variables over a given von Neumann subalgebra.

Singular Integrals in Quantum Euclidean Spaces

Singular Integrals in Quantum Euclidean Spaces PDF Author: Adrían M. González-Pérez
Publisher: American Mathematical Society
ISBN: 1470449374
Category : Mathematics
Languages : en
Pages : 90

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Book Description
View the abstract.

Issues in General and Specialized Mathematics Research: 2011 Edition

Issues in General and Specialized Mathematics Research: 2011 Edition PDF Author:
Publisher: ScholarlyEditions
ISBN: 1464964920
Category : Mathematics
Languages : en
Pages : 1326

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Book Description
Issues 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/.

Analysis for Science, Engineering and Beyond

Analysis for Science, Engineering and Beyond PDF Author: Kalle Åström
Publisher: Springer Science & Business Media
ISBN: 3642202365
Category : Mathematics
Languages : en
Pages : 348

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Book Description
This 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.

Hardy Spaces Associated to Non-Negative Self-Adjoint Operators Satisfying Davies-Gaffney Estimates

Hardy Spaces Associated to Non-Negative Self-Adjoint Operators Satisfying Davies-Gaffney Estimates PDF Author: Steve Hofmann
Publisher: American Mathematical Soc.
ISBN: 0821852388
Category : Hardy spaces
Languages : en
Pages : 91

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Book Description
Let $X$ 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.

Composition Operators on Hardy-Orlicz Spaces

Composition Operators on Hardy-Orlicz Spaces PDF Author: Pascal Lefèvre
Publisher: American Mathematical Soc.
ISBN: 082184637X
Category : Composition operators
Languages : en
Pages : 87

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Book Description
"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.

Operator Theory on Noncommutative Domains

Operator Theory on Noncommutative Domains PDF Author: Gelu Popescu
Publisher: American Mathematical Soc.
ISBN: 0821847104
Category : Dilation theory (Operator theory).
Languages : en
Pages : 137

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Book Description
"Volume 205, number 964 (third of 5 numbers)."

Differential Forms on Wasserstein Space and Infinite-Dimensional Hamiltonian Systems

Differential Forms on Wasserstein Space and Infinite-Dimensional Hamiltonian Systems PDF Author: Wilfrid Gangbo
Publisher: American Mathematical Soc.
ISBN: 0821849395
Category : Differential forms
Languages : en
Pages : 90

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Book Description
Let $\mathcal{M}$ 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 $\mathbb{R}^D$.

Jumping Numbers of a Simple Complete Ideal in a Two-Dimensional Regular Local Ring

Jumping Numbers of a Simple Complete Ideal in a Two-Dimensional Regular Local Ring PDF Author: Tarmo Järvilehto
Publisher: American Mathematical Soc.
ISBN: 0821848119
Category : Curves, Plane
Languages : en
Pages : 93

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Book Description
The multiplier ideals of an ideal in a regular local ring form a family of ideals parameterized by non-negative rational numbers. As the rational number increases the corresponding multiplier ideal remains unchanged until at some point it gets strictly smaller. A rational number where this kind of diminishing occurs is called a jumping number of the ideal. In this manuscript the author gives an explicit formula for the jumping numbers of a simple complete ideal in a two-dimensional regular local ring. In particular, he obtains a formula for the jumping numbers of an analytically irreducible plane curve. He then shows that the jumping numbers determine the equisingularity class of the curve.

The Internally 4-Connected Binary Matroids with No $M(K_{3,3})$-Minor

The Internally 4-Connected Binary Matroids with No $M(K_{3,3})$-Minor PDF Author: Dillon Mayhew
Publisher: American Mathematical Soc.
ISBN: 0821848267
Category : Combinatorial designs and configurations
Languages : en
Pages : 110

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Book Description
The authors give a characterization of the internally $4$-connected binary matroids that have no minor isomorphic to $M(K_{3,3})$. Any such matroid is either cographic, or is isomorphic to a particular single-element extension of the bond matroid of a cubic or quartic Mobius ladder, or is isomorphic to one of eighteen sporadic matroids.