Non-self-adjoint operators, infinite determinants, and some applications

Fritz Gesztesy, Yuri Latushkin, Marius Mitrea, Maxim Zinchenko

Type: Preprint

Publication Date: 2005-01-01

Citations: 70

DOI: https://doi.org/10.48550/arxiv.math/0511371

View Publication

Locations

arXiv (Cornell University) - View
DataCite API - View

Similar Works

Action	Title	Year	Authors
+	Singular spectral shift function for Schrödinger operators	2016	Nurulla Azamov Tom Daniels
+ PDF Chat	Variations on a theme of Jost and Pais	2007	Fritz Gesztesy Marius Mitrea Maxim Zinchenko
+	Variations on a Theme of Jost and Pais	2007	Fritz Gesztesy Marius Mitrea Maxim Zinchenko
+	Variations on a Theme of Jost and Pais	2007	Fritz Gesztesy Marius Mitrea Maxim Zinchenko
+	On Dirichlet-to-Neumann Maps and Some Applications to Modified Fredholm Determinants	2010	Fritz Gesztesy Marius Mitrea Maxim Zinchenko
+	On Dirichlet-to-Neumann Maps and Some Applications to Modified Fredholm Determinants	2010	Fritz Gesztesy Marius Mitrea Maxim Zinchenko
+	Singular Schrödinger operators as self-adjoint extensions of 𝑁-entire operators	2014	Luis O. Silva Gerald Teschl Julio H. Toloza
+	The generalized Birman–Schwinger principle	2021	Jussi Behrndt A. F. M. ter Elst Fritz Gesztesy
+	The Generalized Birman-Schwinger Principle	2020	Jussi Behrndt A. F. M. ter Elst Fritz Gesztesy
+ PDF Chat	On Dirichlet-to-Neumann Maps and Some Applications to Modified Fredholm Determinants	2008	Fritz Gesztesy Marius Mitrea Maxim Zinchenko
+ PDF Chat	On Dirichlet-to-Neumann Maps, Nonlocal Interactions, and Some Applications to Fredholm Determinants	2009	Fritz Gesztesy Marius Mitrea Maxim Zinchenko
+	On Factorizations of Analytic Operator-Valued Functions and Eigenvalue Multiplicity Questions	2014	Fritz Gesztesy Helge Holden Roger Nichols
+	On Factorizations of Analytic Operator-Valued Functions and Eigenvalue Multiplicity Questions	2014	Fritz Gesztesy Helge Holden Roger Nichols
+	Trace Class Perturbations of Spectra of Self-adjoint Operators	2012	Konrad Schmüdgen
+	Spectral analysis of non-selfadjoint operators	1962	M. A. Naĭmark
+ PDF Chat	Perturbation theory for self-adjoint operators	2014	Gerald Teschl
+ PDF Chat	Perturbation theory for self-adjoint operators	2009	Gerald Teschl
+	Hankel operators in the perturbation theory of unitary and self-adjoint operators	1985	Vladimir Peller
+	Perturbation theory of non-conjugate operators	1966	V. B. Lidskiĭ
+	Spectral Theory of Self-Adjoint Operators	1990	René Carmona Jean Lacroix

Works That Cite This (69)

Action	Title	Year	Authors
+ PDF Chat	The Limiting Absorption Principle for Massless Dirac Operators, Properties of Spectral Shift Functions, and an Application to the Witten Index of Non-Fredholm Operators	2023	Alan L. Carey Fritz Gesztesy Galina Levitina Roger Nichols Fedor Sukochev Dmitriy Zanin
+ PDF Chat	Erratum to “Non Self Adjoint Operators, Infinite Determinants, and Some Applications,” Russ. J. Math. Phys. 12, 443–471 (2005)	2020	Fritz Gesztesy Yuri Latushkin Marius Mitrea Maxim Zinchenko
+ PDF Chat	Spectral decomposition and decay to grossly determined solutions for a simplified BGK model	2024	Alim Sukhtayev Kevin Zumbrun
+ PDF Chat	Lieb–Thirring inequalities for an effective Hamiltonian of bilayer graphene	2021	Philippe Briet Jean‐Claude Cuenin Leonid Golinskiĭ Stanislas Kupin
+ PDF Chat	A Solvable Model for Scattering on a Junction and a Modified Analytic Perturbation Procedure	2009	B. S. Pavlov
+	Spectral enclosures for non-self-adjoint extensions of symmetric operators	2018	Jussi Behrndt Matthias Langer Vladimir Lotoreichik Jonathan Rohleder
+ PDF Chat	Eigenvalue bounds for non-selfadjoint Dirac operators	2021	Piero DʼAncona Luca Fanelli Nico Michele Schiavone
+ PDF Chat	Explicit Krein resolvent identities for singular Sturm-Liouville operators with applications to Bessel operators	2020	S. Blake Allan Justin Han in Kim Gregory Michajlyszyn Roger Nichols Don Rung
+ PDF Chat	A Jost–Pais-type Reduction of (Modified) Fredholm Determinants for Semi-separable Operators in Infinite Dimensions	2015	Fritz Gesztesy Roger Nichols
+	Nonlocal Robin Laplacians and some remarks on a paper by Filonov on eigenvalue inequalities	2009	Fritz Gesztesy Marius Mitrea

Works Cited by This (41)

Action	Title	Year	Authors
+	Singular Integrals and Differentiability Properties of Functions.	1971	Elias M. Stein
+	On the finiteness of perturbed eigenvalues	1966	Reiji Konno S. T. Kuroda
+	Introduction to the theory of linear nonselfadjoint operators	1969	M. Г. Крейн Israel Gohberg
+	On a Generalization of the Weinstein-Aronszajn Formula and the Infinite Determinant	1961	S. T. Kuroda
+	Spectral Theory and Differential Operators	2018	D. E. Edmunds Des Evans
+ PDF Chat	Perturbation Theory for Linear Operators	1995	Tosio Kato
+	Methods of Modern Mathematical Physics	1972	Michael C. Reed Barry Simon
+	Trace Ideals and Their Applications	2010	Barry Simon
+	Linear operators. Part II. Spectral theory	2003	Nelson Dunford Jacob T. Schwartz
+	The Inhomogeneous Dirichlet Problem in Lipschitz Domains	1995	David Jerison Carlos E. Kenig