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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


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