On a class of non-self-ad joint quadratic matrix operator pencils arising in elasticity theory

Journal of Operator Theory

Volumn 47, Issue 2, 2002, Pages 325-341

  Adamjan, Vadim ^a   Pivovarchik, Vjacheslav ^a   Tretter, Christiane ^a  

^a ODESSA NATIONAL UNIVERSITY   (Ukraine)

Author keywords

Completeness of basis of eigenvectors; Quadratic operator pencil

Indexed keywords

EID: 0036509971     PISSN: 03794024     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (13)

1. Spectral properties of a class of rational operator valued functions
2. The essential spectrum of some matrix operators
3. Classes of Linear Operators. I
4. Introduction to the theory of linear nonselfadjoint operators
5. On some mathematical principles in the linear theory of damped oscillations of continua. I, II
6. Spectral decomposition of some nonselfadjoint block operator matrices
7. Diagonalization of certein block operator matrices and applications to Dirac operators
8. Introduction to the theory of polynomial operat or pencils
9. On the spectral properties of holomorphic operator-valued functions in Hilbert space
10. On the spectral theory of holomorphic operator-valued functions in Hilbert space
11. Some generalizations of the theory of strongly damped pencils to the case of pencils of arbitrary order