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Operator Theory, Operator Algebras, and Applications
 
Edited by: Deguang Han :  University of Central Florida, Orlando, FL
Palle E.T. Jorgensen :  University of Iowa, Iowa City, IA
David Royal Larson :  Texas A & M University, College Station, TX
Operator Theory, Operator Algebras, and Applications
eBook ISBN:  978-0-8218-8093-7
Product Code:  CONM/414.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Add to cart
Operator Theory, Operator Algebras, and Applications
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Operator Theory, Operator Algebras, and Applications
Edited by: Deguang Han :  University of Central Florida, Orlando, FL
Palle E.T. Jorgensen :  University of Iowa, Iowa City, IA
David Royal Larson :  Texas A & M University, College Station, TX
eBook ISBN:  978-0-8218-8093-7
Product Code:  CONM/414.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Add to cart
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 414; 2006; 417 pp
    MSC: 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, long-standing problems such as extensions and dilations, the Kadison-Singer conjecture, and diagonals of self-adjoint operators.
    Readership

    Graduate 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 — Weyl-Heisenberg 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 ]
    • Myung-Sin Song — Wavelet image compression [ MR 2270250 ]
    • Operator theory and harmonic analysis [ MR 2277225 ]
    • G. Bogveradze and L. P. Castro — Wiener-Hopf 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 Wiener-Hopf plus Hankel operators with almost periodic symbols [ MR 2277207 ]
    • Non-commutative geometry [ MR 2277225 ]
    • Franz Luef — On spectral invariance of non-commutative 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 higher-rank graphs and the $C^*$-algebras of topological 1-graphs [ MR 2277214 ]
    • Von Neumann algebras [ MR 2277225 ]
    • William Arveson and Richard V. Kadison — Diagonals of self-adjoint 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, Wai-Shing Tang and Eric Weber — Robertson-type theorems for countable groups of unitary operators [ MR 2277218 ]
    • The Kadison-Singer conjecture [ MR 2277225 ]
    • Peter G. Casazza, Matthew Fickus, Janet C. Tremain and Eric Weber — The Kadison-Singer 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 CP-flows on $\mathfrak {B}(\mathfrak {H})$ [ MR 2277222 ]
    • H. Bercovici and D. Timotin — Trace-class perturbations and functional calculus [ MR 2277223 ]
    • Jaedeok Kim and Robert L. Moore — Rank preserving maps on CSL algebras [ MR 2277224 ]
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Contemporary Mathematics
Volume: 414; 2006; 417 pp
MSC: 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, long-standing problems such as extensions and dilations, the Kadison-Singer conjecture, and diagonals of self-adjoint operators.
Readership

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 — Weyl-Heisenberg 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 ]
  • Myung-Sin Song — Wavelet image compression [ MR 2270250 ]
  • Operator theory and harmonic analysis [ MR 2277225 ]
  • G. Bogveradze and L. P. Castro — Wiener-Hopf 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 Wiener-Hopf plus Hankel operators with almost periodic symbols [ MR 2277207 ]
  • Non-commutative geometry [ MR 2277225 ]
  • Franz Luef — On spectral invariance of non-commutative 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 higher-rank graphs and the $C^*$-algebras of topological 1-graphs [ MR 2277214 ]
  • Von Neumann algebras [ MR 2277225 ]
  • William Arveson and Richard V. Kadison — Diagonals of self-adjoint 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, Wai-Shing Tang and Eric Weber — Robertson-type theorems for countable groups of unitary operators [ MR 2277218 ]
  • The Kadison-Singer conjecture [ MR 2277225 ]
  • Peter G. Casazza, Matthew Fickus, Janet C. Tremain and Eric Weber — The Kadison-Singer 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 CP-flows on $\mathfrak {B}(\mathfrak {H})$ [ MR 2277222 ]
  • H. Bercovici and D. Timotin — Trace-class perturbations and functional calculus [ MR 2277223 ]
  • Jaedeok Kim and Robert L. Moore — Rank preserving maps on CSL algebras [ MR 2277224 ]
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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