eBook ISBN:  9780821880937 
Product Code:  CONM/414.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
eBook ISBN:  9780821880937 
Product Code:  CONM/414.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 

Book DetailsContemporary MathematicsVolume: 414; 2006; 417 ppMSC: Primary 42; 43; 46; 47; 81
This book offers a presentation of some new trends in operator theory and operator algebras, with a view to their applications. It consists of separate papers written by some of the leading practitioners in the field. The content is put together by the three editors in a way that should help students and working mathematicians in other parts of the mathematical sciences gain insight into an important part of modern mathematics and its applications.
While different specialist authors are outlining new results in this book, the presentations have been made user friendly with the aid of tutorial material. In fact, each paper contains three things: a friendly introduction with motivation, tutorial material, and new research. The authors have strived to make their results relevant to the rest of mathematics. A list of topics discussed in the book includes wavelets, frames and their applications, quantum dynamics, multivariable operator theory, \(C^*\)algebras, and von Neumann algebras. Some longer papers present recent advances on particular, longstanding problems such as extensions and dilations, the KadisonSinger conjecture, and diagonals of selfadjoint operators.
ReadershipGraduate students and research mathematicians interested in theory of operators and operator algebras.

Table of Contents

Applications, wavelets, dynamics, and quantum theory [ MR 2277225 ]

Xunxiang Guo, Yuanan Diao and Xingde Dai — WeylHeisenberg frame wavelets with basic supports [ MR 2270246 ]

Palle E. T. Jorgensen — Use of operator algebras in the analysis of measures from wavelets and iterated function systems [ MR 2270247 ]

David W. Kribs — A brief introduction to operator quantum error correction [ MR 2270248 ]

Nadia S. Larsen and Iain Raeburn — From filters to wavelets via direct limits [ MR 2270249 ]

MyungSin Song — Wavelet image compression [ MR 2270250 ]

Operator theory and harmonic analysis [ MR 2277225 ]

G. Bogveradze and L. P. Castro — WienerHopf plus Hankel operators on the real line with unitary and sectorial symbols [ MR 2277204 ]

Robert A. Cohen and Martin E. Walter — An explicit duality for finite groups [ MR 2277205 ]

P. W. Ng — The corona factorization property [ MR 2277206 ]

A. P. Nolasco and L. P. Castro — Factorization theory for WienerHopf plus Hankel operators with almost periodic symbols [ MR 2277207 ]

Noncommutative geometry [ MR 2277225 ]

Franz Luef — On spectral invariance of noncommutative tori [ MR 2277208 ]

Marc A. Rieffel — Lipschitz extension constants equal projection constants [ MR 2277209 ]

$C*$algebras [ MR 2277225 ]

Palle E. T. Jorgensen — Certain representations of the Cuntz relations, and a question on wavelets decompositions [ MR 2277210 ]

Huaxin Lin — The Rokhlin property for automorphisms on simple $C^*$algebras [ MR 2277211 ]

Shôichirô Sakai — Some recent topics on $C^*$algebras and related problems [ MR 2277212 ]

Mark Tomforde — Strong shift equivalence in the $C^*$algebraic setting: graphs and $C^*$correspondences [ MR 2277213 ]

Trent Yeend — Topological higherrank graphs and the $C^*$algebras of topological 1graphs [ MR 2277214 ]

Von Neumann algebras [ MR 2277225 ]

William Arveson and Richard V. Kadison — Diagonals of selfadjoint operators [ MR 2277215 ]

Teodor Ştefan Bîldea — On the Laplacian subalgebra of certain tensors of group von Neumann algebras [ MR 2277216 ]

Frames in Hilbert space [ MR 2277225 ]

Wu Jing, Deguang Han and Ram N. Mohapatra — Structured Parseval frames in Hilbert $C^*$modules [ MR 2277217 ]

David R. Larson, WaiShing Tang and Eric Weber — Robertsontype theorems for countable groups of unitary operators [ MR 2277218 ]

The KadisonSinger conjecture [ MR 2277225 ]

Peter G. Casazza, Matthew Fickus, Janet C. Tremain and Eric Weber — The KadisonSinger problem in mathematics and engineering: a detailed account [ MR 2277219 ]

Extensions and dilations [ MR 2277225 ]

Alexis Alevras — The gauge group of an $E_0$semigroup [ MR 2277220 ]

Paul S. Muhly and Baruch Solel — Extensions and dilations for $C^*$dynamical systems [ MR 2277221 ]

Robert T. Powers and Geoffrey L. Price — On some $E_0$semigroups induced from CPflows on $\mathfrak {B}(\mathfrak {H})$ [ MR 2277222 ]

H. Bercovici and D. Timotin — Traceclass perturbations and functional calculus [ MR 2277223 ]

Jaedeok Kim and Robert L. Moore — Rank preserving maps on CSL algebras [ MR 2277224 ]


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This book offers a presentation of some new trends in operator theory and operator algebras, with a view to their applications. It consists of separate papers written by some of the leading practitioners in the field. The content is put together by the three editors in a way that should help students and working mathematicians in other parts of the mathematical sciences gain insight into an important part of modern mathematics and its applications.
While different specialist authors are outlining new results in this book, the presentations have been made user friendly with the aid of tutorial material. In fact, each paper contains three things: a friendly introduction with motivation, tutorial material, and new research. The authors have strived to make their results relevant to the rest of mathematics. A list of topics discussed in the book includes wavelets, frames and their applications, quantum dynamics, multivariable operator theory, \(C^*\)algebras, and von Neumann algebras. Some longer papers present recent advances on particular, longstanding problems such as extensions and dilations, the KadisonSinger conjecture, and diagonals of selfadjoint operators.
Graduate students and research mathematicians interested in theory of operators and operator algebras.

Applications, wavelets, dynamics, and quantum theory [ MR 2277225 ]

Xunxiang Guo, Yuanan Diao and Xingde Dai — WeylHeisenberg frame wavelets with basic supports [ MR 2270246 ]

Palle E. T. Jorgensen — Use of operator algebras in the analysis of measures from wavelets and iterated function systems [ MR 2270247 ]

David W. Kribs — A brief introduction to operator quantum error correction [ MR 2270248 ]

Nadia S. Larsen and Iain Raeburn — From filters to wavelets via direct limits [ MR 2270249 ]

MyungSin Song — Wavelet image compression [ MR 2270250 ]

Operator theory and harmonic analysis [ MR 2277225 ]

G. Bogveradze and L. P. Castro — WienerHopf plus Hankel operators on the real line with unitary and sectorial symbols [ MR 2277204 ]

Robert A. Cohen and Martin E. Walter — An explicit duality for finite groups [ MR 2277205 ]

P. W. Ng — The corona factorization property [ MR 2277206 ]

A. P. Nolasco and L. P. Castro — Factorization theory for WienerHopf plus Hankel operators with almost periodic symbols [ MR 2277207 ]

Noncommutative geometry [ MR 2277225 ]

Franz Luef — On spectral invariance of noncommutative tori [ MR 2277208 ]

Marc A. Rieffel — Lipschitz extension constants equal projection constants [ MR 2277209 ]

$C*$algebras [ MR 2277225 ]

Palle E. T. Jorgensen — Certain representations of the Cuntz relations, and a question on wavelets decompositions [ MR 2277210 ]

Huaxin Lin — The Rokhlin property for automorphisms on simple $C^*$algebras [ MR 2277211 ]

Shôichirô Sakai — Some recent topics on $C^*$algebras and related problems [ MR 2277212 ]

Mark Tomforde — Strong shift equivalence in the $C^*$algebraic setting: graphs and $C^*$correspondences [ MR 2277213 ]

Trent Yeend — Topological higherrank graphs and the $C^*$algebras of topological 1graphs [ MR 2277214 ]

Von Neumann algebras [ MR 2277225 ]

William Arveson and Richard V. Kadison — Diagonals of selfadjoint operators [ MR 2277215 ]

Teodor Ştefan Bîldea — On the Laplacian subalgebra of certain tensors of group von Neumann algebras [ MR 2277216 ]

Frames in Hilbert space [ MR 2277225 ]

Wu Jing, Deguang Han and Ram N. Mohapatra — Structured Parseval frames in Hilbert $C^*$modules [ MR 2277217 ]

David R. Larson, WaiShing Tang and Eric Weber — Robertsontype theorems for countable groups of unitary operators [ MR 2277218 ]

The KadisonSinger conjecture [ MR 2277225 ]

Peter G. Casazza, Matthew Fickus, Janet C. Tremain and Eric Weber — The KadisonSinger problem in mathematics and engineering: a detailed account [ MR 2277219 ]

Extensions and dilations [ MR 2277225 ]

Alexis Alevras — The gauge group of an $E_0$semigroup [ MR 2277220 ]

Paul S. Muhly and Baruch Solel — Extensions and dilations for $C^*$dynamical systems [ MR 2277221 ]

Robert T. Powers and Geoffrey L. Price — On some $E_0$semigroups induced from CPflows on $\mathfrak {B}(\mathfrak {H})$ [ MR 2277222 ]

H. Bercovici and D. Timotin — Traceclass perturbations and functional calculus [ MR 2277223 ]

Jaedeok Kim and Robert L. Moore — Rank preserving maps on CSL algebras [ MR 2277224 ]