Perturbation Theory for Linear Operators : Denseness and Bases with Applications

Name: Perturbation Theory for Linear Operators : Denseness and Bases with Applications
Brand: Springer Verlag, Singapore

Springer Verlag, Singapore

Perturbation Theory for Linear OperatorsDenseness and Bases with Applications\nAuthor(s): Aref Jeribi\nFormat: Hardback\nPublisher: Springer Verlag, Singapore, Singapore\nImprint: Springer Verlag, Singapore\nISBN-13: 9789811625275, 978-9811625275\nSynopsis\nThis 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 bo.