An Extension of the Weyl-Von Neumann Theorem to Normal Operators
From MaRDI portal
Publication:5613478
DOI10.2307/1995812zbMath0212.15903OpenAlexW4255596936MaRDI QIDQ5613478
Publication date: 1971
Full work available at URL: https://doi.org/10.2307/1995812
Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Groups and semigroups of linear operators (47D03) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)
Related Items
Best approximations in a class of Lorentz ideals, Perturbation theory and higher order \(\mathcal{S}^{p}\)-differentiability of operator functions, Unitary orbits of normal operators in von Neumann algebras, Diagonalization modulo norm ideals with Lipschitz estimates, Diagonality in \(C^*\)-algebras, Model theory of a Hilbert space expanded with an unbounded closed selfadjoint operator, Product of invertible operators of quadratic type, Nonseparable Approximate Equivalence, Voiculescu theorem, Sobolev lemma, and extensions of smooth algebras, Ten years in Hilbert space, An equivariant PPV theorem and Paschke-Higson duality, Around the closure of the set of commutators of idempotents in \(\mathcal{B}(\mathcal{H})\): biquasitriangularity and factorisation, On the approximation of spectra of linear operators on Hilbert spaces, Quasidiagonal weighted shifts on directed trees, The Weyl-von Neumann theorem for skew-symmetric operators, On \((N,\epsilon)\)-pseudospectra of operators on Banach spaces, Diagonalizable Normal Operators, On a question of Douglas and Fillmore, Operators that are points of spectral continuity. II, Purely infinite corona algebras and extensions, A generalization of Voiculescu's theorem for normal operators to semifinite von Neumann algebras, Similarity orbits in the Calkin algebra, On the relation between an operator and its self-commutator, Block numerical range and estimable decomposition of some hyponormal operators, Continuous Functions of Hermitian Operators, Forcing axioms and coronas of C∗-algebras, Involutory *-antiautomorphisms in Toeplitz algebras, Spectral methods for orthogonal rational functions, Perturbations of self-adjoint operators in semifinite von Neumann algebras: Kato-Rosenblum theorem, Variation of the Discrete Eigenvalues of Normal Operators, The Weyl-von Neumann theorem in semifinite factors, Perturbation theory for commutative m-tuples of self-adjoint operators, Approximate equivalence of representations of AF algebras into semifinite von Neumann algebras, Complex symmetric operators and additive preservers problem, Weyl-von Neumann-Berg theorem for quaternionic operators, Block numerical range and estimable total decompositions of normal operators, Roots and logarithms of bounded operators on Hilbert space, A note on representations of commutative C^*-algebras in semifinite von Neumann algebras, Generalized quasidiagonality for extensions, Reducible and irreducible approximation of complex symmetric operators, Quasi-diagonality and the finite section method, Wild dynamics and asymptotically separated sets, Nonlinear preservers problem of complex symmetric operators, Compact perturbations of nest algebras, index obstructions, and a problem of Arveson, Almost commuting matrices and a quantitative version of the Brown- Douglas-Fillmore theorem
Cites Work
