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Softcover ISBN:  9781470419288 
Product Code:  CONM/672 
List Price:  $130.00 
MAA Member Price:  $117.00 
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Softcover ISBN:  9781470419288 
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Book DetailsContemporary MathematicsVolume: 672; 2016; 272 ppMSC: Primary 17; 39; 42; 46; 47
The USAUzbekistan Conference on Analysis and Mathematical Physics, focusing on contemporary issues in dynamical systems, mathematical physics, operator algebras, and several complex variables, was hosted by California State University, Fullerton, from May 20–23, 2014. The main objective of the conference was to facilitate scientific communication and collaboration between mathematicians from the USA and Uzbekistan.
This volume contains the proceedings of the Special Session on Algebra and Functional Analysis. The theory of operator algebras is the unified theme for many papers in this volume. Out of four extensive survey papers, two cover problems related to derivation of various algebras of functions. The other two surveys are on classification of Leibniz algebras and on evolution algebras. The sixteen research articles are devoted to certain analytic topics, such as minimal projections with respect to numerical radius, functional equations and discontinuous polynomials, Fourier inversion for distributions, Schrödinger operators, convexity and dynamical systems.
ReadershipGraduate students and research mathematicians interested in functional analysis and operator algebra.

Table of Contents

Articles

Rustambay Abdullaev — Tracial and Arens algebras associated with finite von Neumann algebras

J. M. Almira and Z. Boros — A dichotomy property for the graphs of monomials

Asuman Güven Aksoy and Grzegorz Lewicki — Characterization conditions and the numerical index

Ravshan Ashurov and Almaz Butaev — On generalized localization of Fourier inversion for distributions

Shavkat Ayupov and Karimbergen Kudaybergenov — Derivations, local and 2local derivations on algebras of measurable operators

Shavkat Ayupov, Karimbergen Kudaybergenov and Antonio M. Peralta — A survey on local and 2local derivations on C$^*$ and von Neuman algebras

ChoHo Chu and Bernard Russo — Cohomology of Jordan triples via Lie algebras

Gayratbay Djabbarov — Extreme boundary of the space semiadditive functionals on the threepoint set

Nasir Ganikhodjaev — Algebras with genetic realization and corresponding evolutionary population dynamics

R. N. Ganikhodzhaev and A. T. Pirnapasov — Quadratic homeomorphisms of the twodimensional simplex and their trajectories

Alexander A. Katz and Oleg Friedman — On universal representations and universal enveloping locally C*algebras for locally JBalgebras

Alimdjan Khalmukhamedov — Complex powers of the Schrödinger operator with singular potential

A. Kh. Khudoyberdiyev and Z. Kh. Shermatova — Description of solvable Leibniz algebras with fourdimensional nilradical

I. S. Rakhimov — On classification problem of Loday algebras

Ikrom M. Rikhsiboev — On the classification of leftsymmetric dialgebras

Jianjun Paul Tian — Invitation to research of new mathematics from biology: Evolution algebras


Additional Material

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The USAUzbekistan Conference on Analysis and Mathematical Physics, focusing on contemporary issues in dynamical systems, mathematical physics, operator algebras, and several complex variables, was hosted by California State University, Fullerton, from May 20–23, 2014. The main objective of the conference was to facilitate scientific communication and collaboration between mathematicians from the USA and Uzbekistan.
This volume contains the proceedings of the Special Session on Algebra and Functional Analysis. The theory of operator algebras is the unified theme for many papers in this volume. Out of four extensive survey papers, two cover problems related to derivation of various algebras of functions. The other two surveys are on classification of Leibniz algebras and on evolution algebras. The sixteen research articles are devoted to certain analytic topics, such as minimal projections with respect to numerical radius, functional equations and discontinuous polynomials, Fourier inversion for distributions, Schrödinger operators, convexity and dynamical systems.
Graduate students and research mathematicians interested in functional analysis and operator algebra.

Articles

Rustambay Abdullaev — Tracial and Arens algebras associated with finite von Neumann algebras

J. M. Almira and Z. Boros — A dichotomy property for the graphs of monomials

Asuman Güven Aksoy and Grzegorz Lewicki — Characterization conditions and the numerical index

Ravshan Ashurov and Almaz Butaev — On generalized localization of Fourier inversion for distributions

Shavkat Ayupov and Karimbergen Kudaybergenov — Derivations, local and 2local derivations on algebras of measurable operators

Shavkat Ayupov, Karimbergen Kudaybergenov and Antonio M. Peralta — A survey on local and 2local derivations on C$^*$ and von Neuman algebras

ChoHo Chu and Bernard Russo — Cohomology of Jordan triples via Lie algebras

Gayratbay Djabbarov — Extreme boundary of the space semiadditive functionals on the threepoint set

Nasir Ganikhodjaev — Algebras with genetic realization and corresponding evolutionary population dynamics

R. N. Ganikhodzhaev and A. T. Pirnapasov — Quadratic homeomorphisms of the twodimensional simplex and their trajectories

Alexander A. Katz and Oleg Friedman — On universal representations and universal enveloping locally C*algebras for locally JBalgebras

Alimdjan Khalmukhamedov — Complex powers of the Schrödinger operator with singular potential

A. Kh. Khudoyberdiyev and Z. Kh. Shermatova — Description of solvable Leibniz algebras with fourdimensional nilradical

I. S. Rakhimov — On classification problem of Loday algebras

Ikrom M. Rikhsiboev — On the classification of leftsymmetric dialgebras

Jianjun Paul Tian — Invitation to research of new mathematics from biology: Evolution algebras