Invertibility of nonnegative Hamiltonian operator with unbounded entries

被引：13

作者：

Wu, Deyu ^{[1
]}

Chen, Alatancang ^{[1
]}

机构：

[1] Inner Mongolia Univ, Sch Math Sci, Hohhot 010021, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2011年 / 373卷 / 02期

关键词：

Infinite dimensional Hamiltonian operator; Nonnegative Hamiltonian operator; The resolvent set;

D O I：

10.1016/j.jmaa.2010.07.042

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the invertibility of nonnegative Hamiltonian operator with unbounded entries is studied, and the sufficient conditions for the everywhere defined bounded invertibility of nonnegative Hamiltonian operator are obtained. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：410 / 413

页数：4

共 6 条

[1] An indefinite approach to the reduction of a nonnegative hamiltonian operator function to a block diagonal form
Azizov, TY
Kiriakidi, VK
Kurina, GA
FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 2001, 35 (03) : 220 - 221
[2] An Indefinite Approach to the Reduction of a Nonnegative Hamiltonian Operator Function to a Block Diagonal Form
T. Ya. Azizov
V. K. Kiriakidi
G. A. Kurina
Functional Analysis and Its Applications, 2001, 35 : 220 - 221
[3] Invertibility of Infinite-Dimensional Hamiltonian Operators and Its Application to Plate Bending Equation
Alatancang
CommunicationsinTheoreticalPhysics, 2008, 49 (03) : 562 - 566
[4] Invertibility of infinite-dimensional Hamiltonian operators and its application to plate bending equation
Jun-Jie, Huang
Alatancang
COMMUNICATIONS IN THEORETICAL PHYSICS, 2008, 49 (03) : 562 - 566
[5] On Symplectic Self-Adjointness of Hamiltonian Operator Matrices
Wu, Xiaohong
Huang, Junjie
Buhe, Eerdun
SYMMETRY-BASEL, 2023, 15 (12):
[6] Completeness in the sense of Cauchy principal value of the eigenfunction systems of infinite dimensional Hamiltonian operator
DeYu Alatancang
Science in China Series A: Mathematics, 2009, 52 : 173 - 180

← 1 →