Spectral convergence of self-adjoint operators and generalized wave operators

DOI10.1016/0022-1236(88)90083-3zbMath0644.47011OpenAlexW1969421172MaRDI QIDQ1102511

Jingbo Xia

Publication date: 1988

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(88)90083-3

zbMATH Keywords

continuity of wave operators in operator parameterstrace-class theory

Mathematics Subject Classification ID

Scattering theory of linear operators (47A40)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Perturbation of the continuous spectrum and unitary equivalence
• Conditional expectations and the corona problem of ergodic Hardy spaces
• Symmetric and self-adjoint Toeplitz operators on multiply connected plane domains
• Mean motion, principal functions, and the zeros of Dirichlet series
• An example of a Schrödinger equation with almost periodic potential and nowhere dense spectrum
• Almost periodic Schrödinger operators. I: Limit periodic potentials
• Transient and recurrent spectrum
• The rotation number for almost periodic potentials
• Commutators, symbols, and determining functions
• Mosaics, principal functions, and mean motion in von Neumann algebras
• A generalization of the Birman trace theorem
• The absolute continuity of Toeplitz's matrices
• Scattering theory with two Hilbert spaces
• Fredholm theories in von Neumann algebras. II
• Commutators and systems of singular integral equations. I
• Perturbation of continuous spectra by Trace class operators
• Commutators and Absolutely Continuous Operators
• THE SPECTRAL THEORY AND THE INDEX OF ELLIPTIC OPERATORS WITH ALMOST PERIODIC COEFFICIENTS
• A Concrete Spectral Theory for Self-Adjoint Toeplitz Operators
• A Spectral Theory for Self-Adjoint Singular Integral Operators
• Singular integral operators on the unit circle