Classical Summation In Commutative And Noncommutative Lp Spaces
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Classical Summation In Commutative And Noncommutative Lp Spaces
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Author : Andreas Defant
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-06-22
Classical Summation In Commutative And Noncommutative Lp Spaces written by Andreas Defant and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-22 with Mathematics categories.
The aim of this research is to develop a systematic scheme that makes it possible to transform important parts of the by now classical theory of summation of general orthonormal series into a similar theory for series in noncommutative $L_p$-spaces constructed over a noncommutative measure space (a von Neumann algebra of operators acting on a Hilbert space together with a faithful normal state on this algebra).
Classical Summation In Commutative And Noncommutative Lp Spaces
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Author : Andreas Defant
language : en
Publisher: Springer
Release Date : 2011-06-21
Classical Summation In Commutative And Noncommutative Lp Spaces written by Andreas Defant and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-21 with Mathematics categories.
The aim of this research is to develop a systematic scheme that makes it possible to transform important parts of the by now classical theory of summation of general orthonormal series into a similar theory for series in noncommutative $L_p$-spaces constructed over a noncommutative measure space (a von Neumann algebra of operators acting on a Hilbert space together with a faithful normal state on this algebra).
Quantum Potential Theory
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Author : Philippe Biane
language : en
Publisher: Springer
Release Date : 2008-10-16
Quantum Potential Theory written by Philippe Biane and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-10-16 with Mathematics categories.
This book offers the revised and completed notes of lectures given at the 2007 conference, "Quantum Potential Theory: Structures and Applications to Physics." These lectures provide an introduction to the theory and discuss various applications.
Pointwise Convergence Of Noncommutative Fourier Series
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Author : Guixiang Hong
language : en
Publisher: American Mathematical Society
Release Date : 2024-12-13
Pointwise Convergence Of Noncommutative Fourier Series written by Guixiang Hong and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-12-13 with Mathematics categories.
View the abstract.
Mixed Norm Inequalities And Operator Space L P Embedding Theory
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Author : Marius Junge
language : en
Publisher: American Mathematical Soc.
Release Date : 2010
Mixed Norm Inequalities And Operator Space L P Embedding Theory written by Marius Junge and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mathematics categories.
Contains the proof of a noncommutative analogue of the inequality for sums of free random variables over a given von Neumann subalgebra.
High Dimensional Probability Vii
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Author : Christian Houdré
language : en
Publisher: Birkhäuser
Release Date : 2016-09-21
High Dimensional Probability Vii written by Christian Houdré and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-09-21 with Mathematics categories.
This volume collects selected papers from the 7th High Dimensional Probability meeting held at the Institut d'Études Scientifiques de Cargèse (IESC) in Corsica, France. High Dimensional Probability (HDP) is an area of mathematics that includes the study of probability distributions and limit theorems in infinite-dimensional spaces such as Hilbert spaces and Banach spaces. The most remarkable feature of this area is that it has resulted in the creation of powerful new tools and perspectives, whose range of application has led to interactions with other subfields of mathematics, statistics, and computer science. These include random matrices, nonparametric statistics, empirical processes, statistical learning theory, concentration of measure phenomena, strong and weak approximations, functional estimation, combinatorial optimization, and random graphs. The contributions in this volume show that HDP theory continues to thrive and develop new tools, methods, techniques and perspectives to analyze random phenomena.
Mathematical Reviews
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Author :
language : en
Publisher:
Release Date : 2007
Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.
Operator Algebras And Operator Theory
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Author : Liming Ge
language : en
Publisher: American Mathematical Soc.
Release Date : 1998
Operator Algebras And Operator Theory written by Liming Ge and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematics categories.
This volume contains the proceedings from the International Conference on Operator Algebras and Operator Theory held at the East China Normal University in Shanghai (China). Participants in the conference ranged from graduate students to postdocs to leading experts who came from around the world. Topics covered were $C*$-algebras, von Neumann algebras, non-self-adjoint operator algebras, wavelets, operator spaces and other related areas. This work consists of contributions from invited speakers and some mathematicians who were unable to attend. It presents important mathematical ideas while maintaining the uniqueness and excitement of this very successful event.
Upper And Lower Bounds For Stochastic Processes
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Author : Michel Talagrand
language : en
Publisher: Springer Science & Business Media
Release Date : 2014-02-12
Upper And Lower Bounds For Stochastic Processes written by Michel Talagrand and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-02-12 with Mathematics categories.
The book develops modern methods and in particular the "generic chaining" to bound stochastic processes. This methods allows in particular to get optimal bounds for Gaussian and Bernoulli processes. Applications are given to stable processes, infinitely divisible processes, matching theorems, the convergence of random Fourier series, of orthogonal series, and to functional analysis. The complete solution of a number of classical problems is given in complete detail, and an ambitious program for future research is laid out.
Noncommutative Measures And Lp And Orlicz Spaces With Applications To Quantum Physics
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Author : Stanisław Goldstein
language : en
Publisher: Oxford University Press
Release Date : 2025-06-19
Noncommutative Measures And Lp And Orlicz Spaces With Applications To Quantum Physics written by Stanisław Goldstein and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-06-19 with Mathematics categories.
The theory of noncommutative Haagerup Lp and Orlicz spaces is an important tool in both Quantum Harmonic Analysis and Mathematical Physics. Indeed, noncommutativity is arguably the raison-d'être of the Heisenberg approach to quantum mechanics. Just as classical analysis formed the foundation for classical mechanics, a mature response to the challenges posed by quantum mechanics (from the Heisenberg perspective) similarly needs to be built on a well-developed foundation of noncommutative analysis. In the passage from the classical to the quantum setting, functions get replaced with (possibly noncommuting) operators. Von Neumann himself realised early on that some sort of noncommutative integral calculus tailored to this setting is therefore needed to meet this challenge. This book seeks to help address this need. The noncommutative Orlicz spaces presented here help in dealing with observable quantities and entropy. Goldstein and Labuschagne provide a detailed account of the current theories in a way that is useful and accessible to a wide range of readers, from graduate students to advanced users. Beginning with some foundational examples intended to build intuition for the theory to follow, including the theory of noncommutative decreasing arrangements, as developed by Fack and Kosaki, and of Orlicz spaces for general von Neumann algebras. The authors then present the theory of the more accessible tracial case, followed by that of the more demanding general (type III) case. The final part of the book is devoted to advanced theory and applications.