## 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

## 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

## 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