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Operator Algebras and Their Modules: An operator space approach

David P. Blecher and Christian Le Merdy

Published in print:
2004
Published Online:
September 2007
ISBN:
9780198526599
eISBN:
9780191712159
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198526599.001.0001
Subject:
Mathematics, Pure Mathematics

This book presents the general theory of algebras of operators on a Hilbert space, and the modules over such algebras. The new theory of operator spaces is presented early on and the text assembles ... More


Traces and Determinants of Pseudodifferential Operators

Simon Scott

Published in print:
2010
Published Online:
January 2011
ISBN:
9780198568360
eISBN:
9780191594748
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198568360.001.0001
Subject:
Mathematics, Analysis

This text provides a broad account of the theory of traces and determinants on geometric algebras of differential and pseudodifferential operators over compact manifolds. Trace and determinant ... More


CURVATURE REGISTRATION

Jan Modersitzki

in Numerical Methods for Image Registration

Published in print:
2003
Published Online:
September 2007
ISBN:
9780198528418
eISBN:
9780191713583
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198528418.003.0012
Subject:
Mathematics, Applied Mathematics

Elastic, fluid, and diffusion registrations are sensitive to affine linear displacements. As a consequence, an affine linear pre-registration is unavoidable. The second order derivatives-based ... More


Formal means

Helmut Hofmann

in The Physics of Warm Nuclei: with Analogies to Mesoscopic Systems

Published in print:
2008
Published Online:
September 2008
ISBN:
9780198504016
eISBN:
9780191708480
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198504016.003.0026
Subject:
Physics, Nuclear and Plasma Physics

This chapter elucidates various mathematical formulas. Based on expressions for Gaussian integrals in one and many dimensions, the methods of stationary phase and steepest descent are deduced, ... More


Essential Quantum Mechanics

Gary Bowman

Published in print:
2007
Published Online:
January 2008
ISBN:
9780199228928
eISBN:
9780191711206
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199228928.001.0001
Subject:
Physics, Condensed Matter Physics / Materials

Quantum mechanics — central not only to physics, but also to chemistry, materials science, and other fields — is notoriously abstract and difficult. This book is a concise, explanatory book that ... More


The Genealogy of Disjunction

R. E. Jennings

Published in print:
1995
Published Online:
September 2011
ISBN:
9780195075243
eISBN:
9780199852970
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195075243.001.0001
Subject:
Philosophy, Philosophy of Language

This book presents a study of the English word or, and the logical operators variously proposed to present its meaning. Although there are indisputably disjunctive uses of or in English, it is a ... More


Operators

Gary E. Bowman

in Essential Quantum Mechanics

Published in print:
2007
Published Online:
January 2008
ISBN:
9780199228928
eISBN:
9780191711206
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199228928.003.0005
Subject:
Physics, Condensed Matter Physics / Materials

This chapter develops a basic working knowledge of operators — objects central to quantum mechanics. The fact that quantum operators are linear determines how they may be manipulated, so linearity ... More


Rules for the Knowledge Operator

Jonathan L. Kvanvig

in The Knowability Paradox

Published in print:
2006
Published Online:
May 2006
ISBN:
9780199282593
eISBN:
9780191603587
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0199282595.003.0005
Subject:
Philosophy, Logic/Philosophy of Mathematics

This chapter examines the idea that the logical principles governing the knowledge operator are the root cause of the paradox. There are two such principles: the first is that knowledge implies ... More


Traces

Simon Scott

in Traces and Determinants of Pseudodifferential Operators

Published in print:
2010
Published Online:
January 2011
ISBN:
9780198568360
eISBN:
9780191594748
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198568360.003.0002
Subject:
Mathematics, Analysis

In this Chapter examples of trace structures are given along with some elements of trace theory in general. These facts and examples are called upon and, in the specific case of pseudodifferential ... More


The factorization method for other types of inverse obstacle scattering problems

Andreas Kirsch and Natalia Grinberg

in The Factorization Method for Inverse Problems

Published in print:
2007
Published Online:
September 2008
ISBN:
9780199213535
eISBN:
9780191707629
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199213535.003.0002
Subject:
Mathematics, Applied Mathematics

This chapter studies some examples of inverse scattering problems in which the data operator fails to be normal. The impedance boundary condition, the reconstruction from limited-angle data, and the ... More


Methods in Theoretical Quantum Optics

Stephen Barnett and Paul Radmore

Published in print:
2002
Published Online:
February 2010
ISBN:
9780198563617
eISBN:
9780191714245
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198563617.001.0001
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This book provides a firm grounding in those techniques needed to derive analytic solutions to relevant model problems. The book begins with a brief review of the mathematical foundations of quantum ... More


Basic theory of operator algebras

David P. Blecher and Christian Le Merdy

in Operator Algebras and Their Modules: An operator space approach

Published in print:
2004
Published Online:
September 2007
ISBN:
9780198526599
eISBN:
9780191712159
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198526599.003.0002
Subject:
Mathematics, Pure Mathematics

This chapter begins with a discussion of operator algebras and unitizations. It then covers some basic constructions, the abstract characterization of operator algebras, universal constructions of ... More


Basic theory of operator modules

David P. Blecher and Christian Le Merdy

in Operator Algebras and Their Modules: An operator space approach

Published in print:
2004
Published Online:
September 2007
ISBN:
9780198526599
eISBN:
9780191712159
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198526599.003.0003
Subject:
Mathematics, Pure Mathematics

This chapter discusses the basics of operator modules. Topics covered include Hilbert modules, operator modules over operator algebras, two module tensor products, module maps, module map extension ... More


C*-modules and operator spaces

David P. Blecher and Christian Le Merdy

in Operator Algebras and Their Modules: An operator space approach

Published in print:
2004
Published Online:
September 2007
ISBN:
9780198526599
eISBN:
9780191712159
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198526599.003.0008
Subject:
Mathematics, Pure Mathematics

This chapter has three main goals. First, to examine Hilbert C*-modules (and their W*-algebra variant, W *-modules) as operator modules. It aims to show that the theory of C *-modules fits ... More


DIFFUSION REGISTRATION

Jan Modersitzki

in Numerical Methods for Image Registration

Published in print:
2003
Published Online:
September 2007
ISBN:
9780198528418
eISBN:
9780191713583
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198528418.003.0011
Subject:
Mathematics, Applied Mathematics

A gradient-based regularization for registration is introduced, and a fast and stable implementation is developed. In contrast to the physically motivated elastic and fluid registrations, the ... More


Toeplitz Operators and Hitchin's Projectively Flat Connection

Jørgen Ellegaard Andersen

in The Many Facets of Geometry: A Tribute to Nigel Hitchin

Published in print:
2010
Published Online:
September 2010
ISBN:
9780199534920
eISBN:
9780191716010
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199534920.003.0010
Subject:
Mathematics, Geometry / Topology

This chapter reviews some of the results that have been established regarding representations of the mapping class group and the curve operators. It discusses the geometric construction of these ... More


Interest‐Relative Invariantism versus Relativism

Jason Stanley

in Knowledge and Practical Interests

Published in print:
2005
Published Online:
May 2006
ISBN:
9780199288038
eISBN:
9780191603679
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0199288038.003.0008
Subject:
Philosophy, Metaphysics/Epistemology

Relativism about knowledge-attributions is the thesis that knowledge attributions express propositions the truth of which is relative to a judge. On this view, a knowledge attribution may express a ... More


Representing Time

Berit Brogaard

in Transient Truths: An Essay in the Metaphysics of Propositions

Published in print:
2012
Published Online:
May 2012
ISBN:
9780199796908
eISBN:
9780199933235
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199796908.003.0004
Subject:
Philosophy, Philosophy of Language

In a recent influential paper, King offers empirical evidence against the assumption that there are tense operators in English. King argues that the metalinguistic truth-conditions for tensed ... More


Emerging Role of the System Operator

Alok Kumar and Sushanta K. Chatterjee

in Electricity Sector in India: Policy and Regulation

Published in print:
2012
Published Online:
September 2012
ISBN:
9780198082279
eISBN:
9780199082063
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198082279.003.0011
Subject:
Economics and Finance, Development, Growth, and Environmental

Power system operation is a critical function and the role of the system operator becomes crucial in the context of the emerging imperatives of competition and promoting renewables in the electricity ... More


From Tourism to Bandi and Naven Rituals

Andrew Moutu

in Names are Thicker than Blood: Kinship and Ownership amongst the Iatmul

Published in print:
2013
Published Online:
January 2014
ISBN:
9780197264454
eISBN:
9780191760501
Item type:
chapter
Publisher:
British Academy
DOI:
10.5871/bacad/9780197264454.003.0004
Subject:
Anthropology, Asian Cultural Anthropology

This chapter first describes the kinds of interaction between people in Kanganamun, tourists, and tour operators, and then discusses a mock ritual display enacted as a spectacle for tourists. This ... More


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