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Non-consistent approximations of self-adjoint eigenproblems: Application to the supercell method
Non-consistent approximations self-adjoint eigenproblems Functional Analysis
2012/5/24
In this article, we introduce a general theoretical framework to analyze non-consistent approximations of the discrete eigenmodes of a self-adjoint operator. We focus in particular on the discrete eig...
Effective Non-vanishing of Asymptotic Adjoint Syzygies
Effective Non-vanishing Asymptotic Adjoint Syzygies Algebraic Geometry
2012/4/17
The purpose of this paper is to establish an effective non-vanishing theorem for the syzygies of an adjoint-type line bundle on a smooth variety, as the positivity of the embedding increases. Our purp...
A canonical linear system associated to adjoint divisors in characteristic $p > 0$
Linear system test ideal multiplier ideal base-point-free ample characteristic p > 0
2011/9/15
Abstract: Suppose that $X$ is a projective variety over an algebraically closed field of characteristic $p > 0$. Further suppose that $L$ is an ample (or more generally in some sense positive) divisor...
Constructing all self-adjoint matrices with prescribed spectrum and diagonal
Schur-Horn interlacing majorization frames
2011/9/1
Abstract: The Schur-Horn Theorem states that there exists a self-adjoint matrix with a given spectrum and diagonal if and only if the spectrum majorizes the diagonal. Though the original proof of this...
On the Spectra and Pseudospectra of a Class of Non-Self-Adjoint Random Matrices and Operators
Pseudospectra Non-Self-Adjoint Random Matrices Operators
2011/8/22
Abstract: In this paper we develop and apply methods for the spectral analysis of non-self-adjoint tridiagonal infinite and finite random matrices, and for the spectral analysis of analogous determini...
An infinite-horizon optimal control problem and the stability of the adjoint variable (in Russian)
infinite-horizon optimal control problem stability adjoint variable
2011/2/21
Определения и обозначения. Пусть задано метрическое простран-ство X △= Rm. Определим T △= {t ∈ R| t ≥ 0}.
Spectral estimates for resolvent differences of self-adjoint elliptic operators
Spectral estimates resolvent differences
2011/2/24
The notion of quasi boundary triples and their Weyl functions is an abstract concept to treat spectral and boundary value problems for elliptic partial differential equations.
Symmetry preserving self-adjoint extensions of Schrödinger operators with singular potentials
Symmetry preserving self-adjoint extensions Schrö dinger operators singular potentials
2011/1/21
We develop a general technique for finding self-adjoint extensions of a symmetric operator that respect a given set of its symmetries. Prob-lems of this type naturally arise when considering two- and ...
Almost commuting self-adjoint matrices --- the real and self-dual cases
self-adjoint matrices self-dual cases
2011/2/21
We show that a pair of almost commuting self-adjoint, symmetric ma-trices are close to commuting self-adjoint, symmetric matrices (in a uni-form way).
Growth Estimates for Orbits of Self Adjoint Groups
Growth Estimates Orbits of Self Adjoint Groups
2011/1/21
Let G denote a closed, connected, self adjoint, noncompact subgroup of GL(n,R), and let dR
and dL denote respectively the right and left invariant Riemannian metrics defined by the canonical inner pr...
Transformation of operator algebras under Hopf algebra twist is studied. It is shown that that adjoint module algebras are stable under the twist. Applications to vector fields on non-commutative spac...
On the Seshadri constants of adjoint line bundles
the Seshadri constants adjoint line bundles
2010/11/9
In the present paper we are concerned with the possible values of Seshadri constants. While in general every positive rational number appears as the local Seshadri constant of some ample line bundle, ...
Adjoint orbit types of compact exceptional Lie group G2 in its Lie algebra
exceptional Lie group G2 Lie algebra
2010/11/8
A Lie group $G$ naturally acts on its Lie algebra $\gg$, called the adjoint action. In this paper, we determine the orbit types of the compact exceptional Lie group $G_2$ in its Lie algebra $\gg_2$. ...
Toric plurisubharmonic functions and analytic adjoint ideal sheaves
Toric plurisubharmonic functions analytic adjoint ideal sheaves
2010/11/19
In the first part of this paper, we study the properties of some particular plurisubharmonic functions, namely the toric ones. The main result of this part is a precise description of their multiplier...
Weyl theorems for the polluted set of self-adjoint operators in Galerkin approximations
Weyl theorems self-adjoint operators Galerkin approximations
2010/11/22
Let A be a self-adjoint operator on a separable Hilbert space H and let (L_n) be a sequence of finite dimensional subspaces of the domain of A, approximating H in the large n limit. Denote by A_n the...