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Book DetailsContemporary MathematicsVolume: 672; 2016; 272 ppMSC: Primary 17; 39; 42; 46; 47
The USA-Uzbekistan 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.
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Table of Contents
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Articles
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Rustambay Abdullaev — Tracial and Arens algebras associated with finite von Neumann algebras
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J. M. Almira and Z. Boros — A dichotomy property for the graphs of monomials
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Asuman Güven Aksoy and Grzegorz Lewicki — Characterization conditions and the numerical index
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Ravshan Ashurov and Almaz Butaev — On generalized localization of Fourier inversion for distributions
-
Shavkat Ayupov and Karimbergen Kudaybergenov — Derivations, local and 2-local derivations on algebras of measurable operators
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Shavkat Ayupov, Karimbergen Kudaybergenov and Antonio M. Peralta — A survey on local and 2-local derivations on C$^*$- and von Neuman algebras
-
Cho-Ho Chu and Bernard Russo — Cohomology of Jordan triples via Lie algebras
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Gayratbay Djabbarov — Extreme boundary of the space semi-additive functionals on the three-point set
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Nasir Ganikhodjaev — Algebras with genetic realization and corresponding evolutionary population dynamics
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R. N. Ganikhodzhaev and A. T. Pirnapasov — Quadratic homeomorphisms of the two-dimensional simplex and their trajectories
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Alexander A. Katz and Oleg Friedman — On universal representations and universal enveloping locally C*-algebras for locally JB-algebras
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Alimdjan Khalmukhamedov — Complex powers of the Schrödinger operator with singular potential
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A. Kh. Khudoyberdiyev and Z. Kh. Shermatova — Description of solvable Leibniz algebras with four-dimensional nilradical
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I. S. Rakhimov — On classification problem of Loday algebras
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Ikrom M. Rikhsiboev — On the classification of left-symmetric dialgebras
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Jianjun Paul Tian — Invitation to research of new mathematics from biology: Evolution algebras
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Additional Material
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Requests
The USA-Uzbekistan 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 2-local derivations on algebras of measurable operators
-
Shavkat Ayupov, Karimbergen Kudaybergenov and Antonio M. Peralta — A survey on local and 2-local derivations on C$^*$- and von Neuman algebras
-
Cho-Ho Chu and Bernard Russo — Cohomology of Jordan triples via Lie algebras
-
Gayratbay Djabbarov — Extreme boundary of the space semi-additive functionals on the three-point set
-
Nasir Ganikhodjaev — Algebras with genetic realization and corresponding evolutionary population dynamics
-
R. N. Ganikhodzhaev and A. T. Pirnapasov — Quadratic homeomorphisms of the two-dimensional simplex and their trajectories
-
Alexander A. Katz and Oleg Friedman — On universal representations and universal enveloping locally C*-algebras for locally JB-algebras
-
Alimdjan Khalmukhamedov — Complex powers of the Schrödinger operator with singular potential
-
A. Kh. Khudoyberdiyev and Z. Kh. Shermatova — Description of solvable Leibniz algebras with four-dimensional nilradical
-
I. S. Rakhimov — On classification problem of Loday algebras
-
Ikrom M. Rikhsiboev — On the classification of left-symmetric dialgebras
-
Jianjun Paul Tian — Invitation to research of new mathematics from biology: Evolution algebras