TY  - GEN
AU  - Kato, Tosio
TI  - Perturbation theory for linear operators
SN  - 9783540586616
U1  - 515.353 
PY  - 1976///
CY  - Berlin
PB  - Springer-Verlag
KW  - Perturbation--Mathematics
KW  - Linear operators
KW  - Partial differential equations
KW  - Mathematics
KW  - Mathematical optimization
KW  - Functional analysis
N1  - includes bibliography, supplementary bibliography and index
N2  - This book discusses the important aspects of spectral theory, in particular, the completeness of generalised eigenvectors, Riesz bases, semigroup theory, families of analytic operators, and Gribov operator acting in the Bargmann space. Recent mathematical developments of perturbed non-self-adjoint operators are discussed with the completeness of the space of generalized eigenvectors, bases on Hilbert and Banach spaces and asymptotic behavior of the eigenvalues of these operators. Most results in the book are motivated by physical problems, such as the perturbation method for sound radiation by a vibrating plate in a light fluid, Gribov operator in Bargmann space and other applications in mathematical physics and mechanics. This book is intended for students, researchers in the field of spectral theory of linear non self-adjoint operators, pure analysts and mathematicians.

https://link.springer.com/book/10.1007/978-981-16-2528-2
ER  -