**American Mathematical Society Translations - Series 2
Advances in the Mathematical Sciences**

2010; 180 pp; Hardcover

MSC: Primary 01; 35; 47;

Print ISBN: 978-0-8218-5272-9

Product Code: TRANS2/231

Print ISBN: 978-0-8218-5272-9

Product Code: TRANS2/231

List Price: $104.00

Individual Member Price: $83.20

**Electronic ISBN: 978-1-4704-1831-1
Product Code: TRANS2/231.E**

List Price: $104.00

Individual Member Price: $83.20

# Operator Theory and Its Applications: In Memory of V. B. Lidskii (1924–2008)

Share this page *Edited by *
*Michael Levitin; Dmitri Vassiliev*

This book is a collection of articles devoted to the theory of linear operators in Hilbert spaces and its applications. The subjects covered range from the abstract theory of Toeplitz operators to the analysis of very specific differential operators arising in quantum mechanics, electromagnetism, and the theory of elasticity; the stability of numerical methods is also discussed. Many of the articles deal with spectral problems for not necessarily selfadjoint operators. Some of the articles are surveys outlining the current state of the subject and presenting open problems.

#### Readership

Graduate students and research mathematicians interested in spectral theory of differential operators.

# Table of Contents

## Operator Theory and Its Applications: In Memory of V. B. Lidskii (1924-2008)

- Cover Cover11
- Title page iii4
- Copyright page iv5
- Frontispiece v6
- Contents vii8
- Victor Borisovich Lidskii (1924–2008) 110
- In memory of Victor Borisovich Lidskii (1924–2008) 716
- List of publications by V. B. Lidskii 1322
- Eigenvalue inequalities for mixed Steklov problems 1928
- The analog of the limiting absorption principle in homogenization of periodic elliptic operators 3544
- On a class of nonselfadjoint periodic boundary value problems with discrete real spectrum 5968
- Spectral instability of semiclassical operators 6776
- Estimates of solutions to some weighted systems defined on ℝ^{ℕ} 8998
- On guided electromagnetic waves in photonic crystal waveguides 99108
- Spectral inequalities for a class of nonellilptic operators 109118
- On the near periodicity of eigenvalues of Toeplitz matrices 115124
- Green’s kernels for transmission problems in bodies with small inclusions 127136
- Lower bound on the density of states for periodic Schrödinger operators 161170
- On some open problems in spectral theory 173182
- Back Cover Back Cover1192