On finite-dimensional perturbations of self-adjoint operators

From MaRDI portal
Publication:771705

DOI10.2969/jmsj/00920239zbMath0089.32402OpenAlexW2068242712MaRDI QIDQ771705

Tosio Kato

Publication date: 1957

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/00920239



Related Items

Twelve tales in mathematical physics: An expanded Heineman prize lecture, Eigenfunction expansions and scattering theory for perturbed elliptic partial differential operators, Existence and completeness of the wave operators for higher order differential operators, On the structure of semi-normal operators, Wave Operators and Similarity for Generators of Semigroups in Banach Spaces, Positive discrete spectrum of the evolutionary operator of supercritical branching walks with heavy tails, Inverse scattering theory for discrete Schrödinger operators on the hexagonal lattice, On the existence and the unitary property of the scattering operator, Tosio Kato's work on non-relativistic quantum mechanics. I, On subordinacy and analysis of the spectrum of Schrödinger operators with two singular endpoints, Spectral analysis of perturbed multiplication operators occurring in polymerisation chemistry, On subordinacy and spectral multiplicity for a class of singular differential operators, Perturbation theory for J-positive operators, Matrix measures and finite rank perturbations of self-adjoint operators, Eigenfunction expansions associated with the Schrödinger operators and their applications to scattering theory, Banach space techniques in the perturbation theory of self-adjoint operators with continuous spectra, An abstract stationary approach to perturbation of continuous spectra and scattering theory, On partly gentle perturbations. I, On partly gentle perturbations. II, Commutators, perturbations, and unitary spectra, Perturbation of embedded eigenvalues by operators of finite rank, Explicit formulae for the wave operators of perturbed self-adjoint operators, Completeness of the wave operators for perturbations of uniformly propagative systems, On the Weinstein-Aronszajn formula, Scattering states and wave operators in the abstract theory of scattering, Tosio Kato’s work on non-relativistic quantum mechanics, Part 2, Positive Hankel operators, positive definite kernels and related topics, Finite-dimensional perturbations of selfadjoint operators, Perturbation Theory and Lie Algebras