نتایج جستجو برای: non selfadjoint elliptic differential operators

تعداد نتایج: 1673207  

2017
Stephan Ramon Garcia Emil Prodan Mihai Putinar

Recent advances in the theory of complex symmetric operators are presented and related to current studies in non-hermitian quantum mechanics. The main themes of the survey are: the structure of complex symmetric operators, C-selfadjoint extensions of C-symmetric unbounded operators, resolvent estimates, reality of spectrum, bases of C-orthonormal vectors, and conjugatelinear symmetric operators...

2010
M. Hansmann MARCEL HANSMANN

For bounded linear operators A,B on a Hilbert space H we show the validity of the estimate ∑ λ∈σd(B) dist(λ,Num(A)) ≤ ‖B −A‖pSp , p ≥ 1, and apply it to recover and improve some Lieb-Thirring type inequalities for non-selfadjoint Jacobi and Schrödinger operators.

Journal: :Journal of spectral theory 2023

In this note, we establish $L^p$-bounds for the semigroup $e^{-tq^w(x,D)}$, $t \ge 0$, generated by a quadratic differential operator $q^w(x,D)$ on $\mathbb{R}^n$ that is Weyl quantization of complex-valued form $q$ defined phase space $\mathbb{R}^{2n}$ with non-negative real part $\operatorname{Re} q 0$ and trivial singular space. Specifically, show $e^{-tq^w(x,D)}$ bounded from $L^p(\mathbb{R...

2004
Michael Hitrik

For a class of non-selfadjoint semiclassical operators in dimension one, we get a complete asymptotic description of all eigenvalues near a critical value of the leading symbol of the operator on the boundary of the pseudospectrum.

A.A. Tabatabai Adnani M. Rabbani ‎R. Arab,

In this article, we use two concepts, measure of non-compactness and Meir-Keeler condensing operators. The measure of non-compactness has been applied for existence of solution nonlinear integral equations, ordinary differential equations and system of differential equations in the case of finite and infinite dimensions by some authors. Also Meir-Keeler condensing operators are shown in some pa...

2009
G. Vodev V. Petkov

We extend the results in [5] to non-compactly supported perturbations for a class of symmetric first order systems. The purpose of this note is to extend the results obtained in [5] to non-compactly supported perturbations. Consider in R, n ≥ 3 odd, a first order matrix-valued differential operator of the form ∑n j=1A 0 jDxj , A 0 j being constant Hermitian d× d matrices, and denote by G0 its s...

2001
PIOTR ŚNIADY

We study Voiculescu’s microstate free entropy for a single non–selfadjoint random variable. The main result is that certain additional constraints on eigenvalues of microstates do not change the free entropy. Our tool is the method of random regularization of Brown measure which was studied recently by Haagerup and the author. As a simple application we present an upper bound for the free entro...

2008
KEN RICHARDSON

We introduce a new class of natural, explicitly defined, transversally elliptic differential operators over manifolds with compact group actions. Under certain assumptions, the symbols of these operators generate all the possible values of the equivariant index. We also show that the components of the representation-valued equivariant index coincide with those of an elliptic operator constructe...

Journal: :Journal de Mathématiques Pures et Appliquées 2020

Journal: :Journal für die reine und angewandte Mathematik (Crelles Journal) 2006

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