Numerical Range and Quadratic Numerical Range of Off-Diagonal Infinite Dimensional Hamiltonian Operators

2021 ◽  
Vol 10 (04) ◽  
pp. 989-995
Author(s):  
娅 张
Keyword(s):  
Numerical Range ◽  
Infinite Dimensional ◽  
Hamiltonian Operators

Generalized Inverse of Upper Triangular Infinite Dimensional Hamiltonian Operators

2013 ◽  
Vol 20 (03) ◽  
pp. 395-402
Author(s):  
Junjie Huang ◽  
Xiang Guo ◽  
Yonggang Huang ◽  
Alatancang
Keyword(s):  
Explicit Expression ◽  
Generalized Inverse ◽  
Hamiltonian Operator ◽  
Operator Matrix ◽  
Infinite Dimensional ◽  
Symplectic Spaces ◽  
Hamiltonian Operators

In this paper, we deal with the generalized inverse of upper triangular infinite dimensional Hamiltonian operators. Based on the structure operator matrix J in infinite dimensional symplectic spaces, it is shown that the generalized inverse of an infinite dimensional Hamiltonian operator is also Hamiltonian. Further, using the decomposition of spaces, an upper triangular Hamiltonian operator can be written as a new operator matrix of order 3, and then an explicit expression of the generalized inverse is given.

Symplectic Self-adjointness of Infinite Dimensional Hamiltonian Operators

2018 ◽  
Vol 34 (9) ◽  
pp. 1473-1484
Author(s):  
Lin Li ◽  
Alatancang Chen ◽  
De Yu Wu
Keyword(s):  
Infinite Dimensional ◽  
Hamiltonian Operators

Descriptions of spectra of infinite dimensional Hamiltonian operators and their applications

2010 ◽  
Vol 283 (8) ◽  
pp. 1144-1154 ◽  
Author(s):  
Junjie Huang ◽  
Alatancang ◽  
Hongyou Wu
Keyword(s):  
Infinite Dimensional ◽  
Hamiltonian Operators
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