搜索结果: 1-15 共查到“知识库 代数学 Positive”相关记录32条 . 查询时间(0.015 秒)
We consider the problem of constructing Lyapunov functions for linear differential equations with delays. For such systems it is known that exponential stability implies the existence of a positive Ly...
Representations of Rational Cherednik Algebras in Positive Characteristic
Rational Cherednik Algebras Positive Characteristic Representation Theory
2011/8/24
Abstract: We study rational Cherednik algebras over an algebraically closed field of positive characteristic. We first prove several general results about category O, and then focus on rational Chered...
Three commuting, unital, completely positive maps that have no minimal dilation
Product system subproduct system semigroups of completely positive maps
2011/1/20
In this note we prove that there exist at least two examples of three commuting, unital, completely positive maps that have no dilation on a type I factor, and no minimal dilation on any von Neumann a...
Essential dimension of simple algebras in positive characteristic
Essential dimension simple algebras positive characteristic
2011/2/24
Let p be a prime integer, 1 ≤ s ≤ r integers, F a field of characteristic p.
Completely positive mappings and mean matrices
Matrix monotone function matrix means Hadamard product com-pletely positive mapping
2011/2/24
Some functions f : R+ → R+ induce mean of positive numbers and the matrix monotonicity gives a possibility for means of positive definite matrices. Moreover,such a function f can define linear mapping...
Explicit computation of the index of a positive outer automorphism of the free group
Explicit computation index of positive outer automorphism
2011/2/21
We give an algorithm for finding the index of a positive outer au-tomorphism of the free group, and prove the algorithm exits in a finite time.
Normal completely positive maps on the space of quantum operations
Completely positive and completely bounded maps Dilation theorems Stinespring representation
2011/2/21
We define a class of higher-order linear maps that transform quantum operations into quantum operations and satisfy suitable requirements of normality and complete positivity. For this class of maps w...
In prime characteristic we introduce the notion of restricted pre-Lie algebra. We prove in the pre-Lie context the analogue to Jacobson's theorem for restricted Lie algebras. In particular, we prove t...
A new Lax-Oleinik type semigroup for time-periodic positive definite Lagrangian systems
Lax-Oleinik type semigroup time-periodic positive definite Lagrangian systems
2010/11/15
In this paper we introduce a new Lax-Oleinik type semigroup associated with positive definite Lagrangian systems for both the time-independent case and the time-periodic case. We show that the new La...
On positive definite preserving linear transformations of rank $r$ on real symmetric matrices
positive definite linear transformations
2010/11/22
We study on what conditions on $B_k,$ \ a linear transformation of rank $r$ \label{form} T(A)=\sum_{k=1}^r\tr(AB_k)U_k where $U_k,\ k=1,2,..., r$ are linear independent and all positive definite; is p...
Positive trigonometric polynomials for strong stability of difference equations
trigonometric polynomials strong stability difference equations
2010/11/11
We follow a polynomial approach to analyse strong stability of linear difference equations with rationally independent delays. Upon application of the Hermite stability criterion on the discrete-time ...
Regularity results for fully nonlinear integro-differential operators with nonsymmetric positive kernels
fully nonlinear integro-differential operators nonsymmetric positive kernels
2010/11/22
In this paper, we consider fully nonlinear integro-differential equations with possibly nonsymmetric kernels. We are able to find different versions of Alexandroff-Backelman-Pucci estimate correspondi...
Parity conjectures for elliptic curves over global fields of positive characteristic
Parity conjectures elliptic curves positive characteristic
2010/11/19
We prove the $p$-parity conjecture for elliptic curves over global fields of characteristic $p > 3$. We also present partial results on the $\ell$-parity conjecture for primes $\ell \neq p$.
Computing invariants via slicing groupoids: Gel'fand MacPherson, Gale and positive characteristic stable maps
Computing invariants via slicing groupoids Gel'fand MacPherson
2010/11/22
We offer a groupoid-theoretic approach to computing invariants. We illustrate this approach by describing the Gel'fand-MacPherson correspondence and the Gale transform as well as giving Zariski-local...
For a dg algebra whose homology is of finite dimension in each degree, vanishes in negative
degrees and is semi-simple in degree 0, we show that each simple module over the homology lifts to a differ...