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2018算子代数中的逼近性质及遍历理论研讨会（Workshop on Approximation Properties in Operator Algebras and Ergodic Theory）
2018 算子代数中的逼近性质及遍历理论 研讨会
2017/12/20
Modeling non-commutative phenomena in finite dimensional matrix algebras is a central theme of the program Quantitative Linear Algebra. This workshop will focus on a variety of concrete questions aro...
2017年算子代数和调和分析研讨会（Workshop on Operator Algebras and Harmonic Analysis 2017）
2017年 算子代数和调和分析 研讨会
2017/11/24
This workshop aims to provide a unique opportunity to bring together specialists and active researchers from some Pacific RIM countries, as well as some European countries, in the areas of operator al...
三亚国际数学论坛：Operator Algebras and Harmonic Analysis
三亚国际数学论坛 Operator Algebras Harmonic Analysis
2017/7/3
This workshop aims to provide a unique opportunity to bring together specialists and active researchers from some Pacific RIM countries, as well as some European countries, in the areas of operator al...
INVERTIBILITY OF THE GABOR FRAME OPERATOR ON THE WIENER AMALGAM SPACE
Wiener amalgam space Gabor frame Walnut representation Wiener’s Lemma
2015/12/10
We use a generalization of Wiener’s 1/f theorem to prove that for a Gabor frame with the generator in the Wiener amalgam space W (L∞, `1 )(Rd), the corresponding frame operator is invertible on this s...
A primal-dual operator splitting method for conic optimization
Character segmentation conic optimization yield distributed linear algebra
2015/8/7
We develop a simple operator splitting method for solving a primal conic optimization problem; we show that the iterates also solve the dual problem. The resulting algorithm is very simple to describe...
Index character associated to the projective Dirac operator
twisted index theory Clifford module K-Theory and Homology Differential Geometry
2011/9/9
Abstract: We calculate the equivariant index formula for an infinite dimensional Clifford module canonically associated to any Riemannian manifold. It encompasses the fractional index formula of the p...
Unitary equivalence to a truncated Toeplitz operator: analytic symbols
Toeplitz operator model space truncated Toeplitz operator
2011/2/24
Unlike Toeplitz operators on H2, truncated Toeplitz operators do not have a natural matricial characterization. Consequently, these operators are difficult to study numerically.
On the functional determinant of a special operator with a zero mode in cosmology
functional determinant special operator
2011/3/2
The functional determinant of a special second order quantum-mechanical operator is calcu-lated with its zero mode gauged out by the method of the Faddeev-Popov gauge fixing procedure.
Instanton partition functions in N=2 SU(N) gauge theories with a general surface operator, and their W-algebra duals
Instanton partition functions N=2 SU(N) gauge theories general surface operator W-algebra duals
2011/3/2
We write down an explicit conjecture for the instanton partition functions in 4d N = 2 SU(N) gauge theories in the presence of a certain type of surface operator.
Representation-theoretical Lie supergroups are introduced as supermanifolds with underlying
base manifold being the Lie group associated to the even part of a given Lie superalgebra.
Archimedean operator-theoretic Positivstellens\" atze
Archimedean operator-theoretic Positivstellens math
2010/11/24
We prove a general archimedean positivstellensatz for hermitian operator-valued polynomials and show that it implies the multivariate Fejer-Riesz Theorem of Dritschel-Rovnyak and positivstellens\" at...
Application of Operator Splitting to Solve Reaction Diffusion Equations
Solve Reaction Diffusion Equations math
2010/11/24
Approximate solutions of the Fisher equation obtained by different splitting methods are investigated. The error of this nonlinear problem is analyzed. The order of different splitting methods coupled...
Operator algebras with contractive approximate identities
Operator algebras contractive approximate identities
2010/11/22
We give several applications of a recent theorem of the second author, which solved a conjecture of the first author with Hay and Neal, concerning contractive approximate identities; and another of H...
Best constants in Rosenthal-type inequalities and the Kruglov operator
Rosenthal-type inequalities the Kruglov operator
2010/11/11
Let $X$ be a symmetric Banach function space on $[0,1]$ with the Kruglov property, and let $\mathbf{f}=\{f_k\}_{{k=1}}^n$, $n\ge1$ be an arbitrary sequence of independent random variables in $X$. Thi...
On spectral properties of the fourth order differential operator with singular coefficients
spectral properties differential operator singular coefficients
2010/11/22
A formal fourth order differential operator with a singular coefficient that is a linear combination of the Dirac delta-function and its derivatives is considered. The asymptotic behavior of spectra ...