Unitary equivalence of complex symmetric contractions with finite defect

2020 ◽  
pp. 1
Author(s):  
Caixing Gu
Keyword(s):  
Unitary Equivalence ◽  
Finite Defect ◽  
Complex Symmetric

scholarly journals Unitary equivalence to a complex symmetric matrix: geometric criteria

2010 ◽  
pp. 53-76 ◽  
Author(s):  
Levon Balayan ◽  
Stephan Ramon Garcia
Keyword(s):  
Symmetric Matrix ◽  
Unitary Equivalence ◽  
Complex Symmetric Matrix ◽  
Complex Symmetric

scholarly journals Unitary equivalence to a complex symmetric matrix: a modulus criterion

2011 ◽  
pp. 273-287 ◽  
Author(s):  
Stephan Ramon Garcia ◽  
Daniel E. Poore ◽  
Madeline K. Wyse
Keyword(s):  
Symmetric Matrix ◽  
Unitary Equivalence ◽  
Complex Symmetric Matrix ◽  
Complex Symmetric

scholarly journals Unitary equivalence to a complex symmetric matrix: Low dimensions

2012 ◽  
Vol 437 (1) ◽  
pp. 271-284 ◽  
Author(s):  
Stephan Ramon Garcia ◽  
Daniel E. Poore ◽  
James E. Tener
Keyword(s):  
Symmetric Matrix ◽  
Unitary Equivalence ◽  
Low Dimensions ◽  
Complex Symmetric Matrix ◽  
Complex Symmetric

A COMINRES-QLP Method for Solving Complex Symmetric Linear Systems

2020 ◽  
Vol 140 (12) ◽  
pp. 832-841
Author(s):  
Lijun Liu ◽  
Kazuaki Sekiya ◽  
Masao Ogino ◽  
Koki Masui
Keyword(s):  
Linear Systems ◽  
Complex Symmetric Linear Systems ◽  
Complex Symmetric

scholarly journals Local Spectral Properties Under Conjugations

2021 ◽  
Vol 18 (3) ◽  
Author(s):  
Pietro Aiena ◽  
Fabio Burderi ◽  
Salvatore Triolo
Keyword(s):  
Hilbert Space ◽  
Spectral Properties ◽  
Operator Matrices ◽  
Weyl Type Theorems ◽  
Triangular Operator ◽  
Analytic Core ◽  
Complex Symmetric ◽  
Symmetric Operators ◽  
The Relationship

AbstractIn this paper, we study some local spectral properties of operators having form JTJ, where J is a conjugation on a Hilbert space H and $$T\in L(H)$$ T ∈ L ( H ) . We also study the relationship between the quasi-nilpotent part of the adjoint $$T^*$$ T ∗ and the analytic core K(T) in the case of decomposable complex symmetric operators. In the last part we consider Weyl type theorems for triangular operator matrices for which one of the entries has form JTJ, or has form $$JT^*J$$ J T ∗ J . The theory is exemplified in some concrete cases.

Generalized Riemann spaces

1956 ◽  
Vol 52 (4) ◽  
pp. 623-625 ◽  
Author(s):  
John Moffat
Keyword(s):  
Curvature Tensor ◽  
Physical Theory ◽  
Dimensional Space ◽  
Riemann Space ◽  
Recent Attempt ◽  
Fundamental Tensor ◽  
Fundamental Properties ◽  
Complex Symmetric ◽  
Definition Of ◽  
Generalized Curvature Tensor

ABSTRACTThe recent attempt at a physical interpretation of non-Riemannian spaces by Einstein (1, 2) has stimulated a study of these spaces (3–8). The usual definition of a non-Riemannian space is one of n dimensions with which is associated an asymmetric fundamental tensor, an asymmetric linear affine connexion and a generalized curvature tensor. We can also consider an n-dimensional space with which is associated a complex symmetric fundamental tensor, a complex symmetric affine connexion and a generalized curvature tensor based on these. Some aspects of this space can be compared with those of a Riemann space endowed with two metrics (9). In the following the fundamental properties of this non-Riemannian manifold will be developed, so that the relation between the geometry and physical theory may be studied.

scholarly journals A COMINRES‐QLP method for solving complex symmetric linear systems

2021 ◽  
Author(s):  
Lijun Liu ◽  
Kazuaki Sekiya ◽  
Masao Ogino ◽  
Koki Masui
Keyword(s):  
Linear Systems ◽  
Complex Symmetric Linear Systems ◽  
Complex Symmetric

scholarly journals The class of complex symmetric operators is not norm closed

2012 ◽  
Vol 140 (5) ◽  
pp. 1705-1708 ◽  
Author(s):  
Sen Zhu ◽  
Chun Guang Li ◽  
You Qing Ji
Keyword(s):  
Complex Symmetric ◽  
Symmetric Operators
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