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Softcover ISBN:  9781470427726 
Product Code:  CONM/687 
List Price:  $130.00 
MAA Member Price:  $117.00 
AMS Member Price:  $104.00 
eBook ISBN:  9781470440404 
Product Code:  CONM/687.E 
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MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
Softcover ISBN:  9781470427726 
eBook ISBN:  9781470440404 
Product Code:  CONM/687.B 
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MAA Member Price:  $229.50 $173.25 
AMS Member Price:  $204.00 $154.00 

Book DetailsContemporary MathematicsVolume: 687; 2017; 239 ppMSC: Primary 46; 47; 81
This volume contains the proceedings of the Workshop on Problems and Recent Methods in Operator Theory, held at the University of Memphis, Memphis, TN, from October 15–16, 2015 and the AMS Special Session on Advances in Operator Theory and Applications, in Memory of James Jamison, held at the University of Memphis, Memphis, TN, from October 17–18, 2015.
Operator theory is at the root of several branches of mathematics and offers a broad range of challenging and interesting research problems. It also provides powerful tools for the development of other areas of science including quantum theory, physics and mechanics. Isometries have applications in solidstate physics. Hermitian operators play an integral role in quantum mechanics very much due to their “nice” spectral properties. These powerful connections demonstrate the impact of operator theory in various branches of science.
The articles in this volume address recent problems and research advances in operator theory. Highlighted topics include spectral, structural and geometric properties of special types of operators on Banach spaces, with emphasis on isometries, weighted composition operators, multicircular projections on function spaces, as well as vector valued function spaces and spaces of analytic functions.
This volume gives a succinct overview of stateoftheart techniques from operator theory as well as applications to classical problems and longstanding open questions.
ReadershipGraduate students and research mathematicians interested in operator theory, functional analysis, geometry of Banach spaces, and complex analysis.

Table of Contents

Articles

Richard Fleming — From Helgermites to Lipschitz: Remembering Jim Jamison

Toshikazu Abe — A MazurUlam theorem for normed gyrolinear spaces

Saroj Aryal, Hayoung Choi and Farhad Jafari — Sparse Hamburger moment multisequences

Somshubhro Bandyopadhyay and Ajit Iqbal Singh — Polynomial representation of quantum entanglement

Sudeshna Basu — On span of small combination of slices points in Banach spaces

Fernanda Botelho and James Jamison — Surjective isometries on absolutely continuous vector valued function spaces

I. Chalendar and J. R. Partington — Compactness, differentiability and similarity to isometry of composition semigroups

Flavia Colonna and Maria Tjani — Weighted composition operators from Banach spaces of analytic functions into Blochtype spaces

Carl C. Cowen and Eva A. GallardoGutiérrez — A new proof of a Nordgren, Rosenthal and Wintrobe Theorem on universal operators

C. Farsi, E. Gillaspy, A. Julien, S. Kang and J. Packer — Wavelets and spectral triples for fractal representations of Cuntz algebras

Nadia J. Gal — The isometric equivalence problem

Osamu Hatori — Extension of isometries in generalized gyrovector spaces of the positive cones

Dijana Ilišević — Generalized $n$circular projections on JB*triples

Raena King — Hermitian operators on $H^1_{\mathcal {H}}$

Brittney Miller — Kernels of adjoints of composition operators with rational symbols of degree two

Takeshi Miura and Hiroyuki Takagi — Surjective isometries on the Banach space of continuously differentiable functions

Lajos Molnár — The arithmetic, geometric and harmonic means in operator algebras and transformations among them

Beata Randrianantoanina — On sign embeddings and narrow operators on $L_2$

T. S. S. R. K. Rao — Into isometries that preserve finite dimensional structure of the range

Jessica E. Stovall and William A. Feldman — Associating linear and nonlinear operators

Derek Thompson — Normality properties of weighted composition operators on $H^2$


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This volume contains the proceedings of the Workshop on Problems and Recent Methods in Operator Theory, held at the University of Memphis, Memphis, TN, from October 15–16, 2015 and the AMS Special Session on Advances in Operator Theory and Applications, in Memory of James Jamison, held at the University of Memphis, Memphis, TN, from October 17–18, 2015.
Operator theory is at the root of several branches of mathematics and offers a broad range of challenging and interesting research problems. It also provides powerful tools for the development of other areas of science including quantum theory, physics and mechanics. Isometries have applications in solidstate physics. Hermitian operators play an integral role in quantum mechanics very much due to their “nice” spectral properties. These powerful connections demonstrate the impact of operator theory in various branches of science.
The articles in this volume address recent problems and research advances in operator theory. Highlighted topics include spectral, structural and geometric properties of special types of operators on Banach spaces, with emphasis on isometries, weighted composition operators, multicircular projections on function spaces, as well as vector valued function spaces and spaces of analytic functions.
This volume gives a succinct overview of stateoftheart techniques from operator theory as well as applications to classical problems and longstanding open questions.
Graduate students and research mathematicians interested in operator theory, functional analysis, geometry of Banach spaces, and complex analysis.

Articles

Richard Fleming — From Helgermites to Lipschitz: Remembering Jim Jamison

Toshikazu Abe — A MazurUlam theorem for normed gyrolinear spaces

Saroj Aryal, Hayoung Choi and Farhad Jafari — Sparse Hamburger moment multisequences

Somshubhro Bandyopadhyay and Ajit Iqbal Singh — Polynomial representation of quantum entanglement

Sudeshna Basu — On span of small combination of slices points in Banach spaces

Fernanda Botelho and James Jamison — Surjective isometries on absolutely continuous vector valued function spaces

I. Chalendar and J. R. Partington — Compactness, differentiability and similarity to isometry of composition semigroups

Flavia Colonna and Maria Tjani — Weighted composition operators from Banach spaces of analytic functions into Blochtype spaces

Carl C. Cowen and Eva A. GallardoGutiérrez — A new proof of a Nordgren, Rosenthal and Wintrobe Theorem on universal operators

C. Farsi, E. Gillaspy, A. Julien, S. Kang and J. Packer — Wavelets and spectral triples for fractal representations of Cuntz algebras

Nadia J. Gal — The isometric equivalence problem

Osamu Hatori — Extension of isometries in generalized gyrovector spaces of the positive cones

Dijana Ilišević — Generalized $n$circular projections on JB*triples

Raena King — Hermitian operators on $H^1_{\mathcal {H}}$

Brittney Miller — Kernels of adjoints of composition operators with rational symbols of degree two

Takeshi Miura and Hiroyuki Takagi — Surjective isometries on the Banach space of continuously differentiable functions

Lajos Molnár — The arithmetic, geometric and harmonic means in operator algebras and transformations among them

Beata Randrianantoanina — On sign embeddings and narrow operators on $L_2$

T. S. S. R. K. Rao — Into isometries that preserve finite dimensional structure of the range

Jessica E. Stovall and William A. Feldman — Associating linear and nonlinear operators

Derek Thompson — Normality properties of weighted composition operators on $H^2$