C* - Algebras and Numerical Analysis

By Roland Hagen, S. Roch, B. Silbermann. 2000

184 citations recorded by the source corpus.

Subfields: Atomic and Molecular Physics, and Optics, Computational Theory and Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/a57ba20a4f9404e65ae29fbb66ed9fe93ba8f38b

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In Atomic and Molecular Physics, and Optics

In Computational Theory and Mathematics

In Mathematical Physics

Citations in the corpus

Convergence Analysis of the Finite Section Method and Banach Algebras of Matrices (2010, methodology): “It was already pointed out in [16] that C∗-algebra techniques do not yield any information about the rate of convergence of the finite section method.”
On the approximation of spectra of linear operators on Hilbert spaces (2008, methodology): “The finite-section method for approximating the spectrum of bounded self-adjoint operators on Hilbert spaces is a well-known technique and has been studied in several articles and monographs [Arv94a], [Bro07], [BS99], [ HRS01 ].”
Dynamics of Properties of Toeplitz Operators with Radial Symbols (2004, result): “5 in [9] one can show that”
Symmetry and inverse-closedness of matrix algebras and functional calculus for infinite matrices (2006, methodology): “We mention Jaffard’s “lemme de fenetre and perturbation the ory [24], the finite section method for operator equations [21, 35] and for frames [9], local error estimates of wavelet and Gabor expansions [1], or the time-frequency decay of dual Gabor windows [17].”
Invariant Means and Finite Representation Theory of $c*$-Algebras (2003, background): “l operators generate nuclear C∗-algebras while every weighted shift is an element of the nuclear C∗-algebra l∞(N) ⋊N and hence generates something exact). Many of the concrete operators considered in [35] can be realized as weighted shifts (or, more generally, as elements in one of the algebras l∞(N”
An affirmative answer to a core issue on limit operators (2014, background): “[48, 41, 42, 40, 23, 27, 51, 52, 53, 49], again the books [16, 17, 43, 25, 47, 10] and the references cited there).”