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ON THE NORM OF ELEMENTARY OPERATORS
Journal of the London Mathematical Society, 2004The norm problem is considered for elementary operators of the form \(U_{a,b}:\mathcal{A}\to\mathcal{A}\), \(x\mapsto axb+bxa\) \((a,b\in\mathcal{A})\) in the special case when \(\mathcal{A}\) is a subalgebra of the algebra of bounded operators on a Banach space.
Blanco, Ariel+2 more
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Norm attaining operators and norming functionals
Proceedings of the American Mathematical Society, 1982The question of whether a countably additive measure with values in a Banach space attains the diameter of its range was unresolved. In this paper an example is given of a countably additive vector measure, taking values in a C ( K ) C(K) space, for which the diameter of the range is not attained.
Paul W. Lewis, Russell G. Bilyeu
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Norm Inequalities for Positive Operators [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rajendra Bhatia, Fuad Kittaneh
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On the norms of interpolating operators
Israel Journal of Mathematics, 1988We estimate the norms of linear interpolating operators from the space of continuous functions onto polynomials. The estimate eliminates the gap between classical results of Faber and Bernstein. It also provides an affirmative answer to a question recently raised by J. Szabados.
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1997
State-space characterizations of the H∞ norm for linear time-invariant systems have been obtained for both continuous-time [16] and discretetime systems [52], by considering the connection between the norm bound ‖G‖∞ < γ and the existence of spectral factors of the Hermitian function I−γ−2G~G.
Marc Andre Peters, Pablo A. Iglesias
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State-space characterizations of the H∞ norm for linear time-invariant systems have been obtained for both continuous-time [16] and discretetime systems [52], by considering the connection between the norm bound ‖G‖∞ < γ and the existence of spectral factors of the Hermitian function I−γ−2G~G.
Marc Andre Peters, Pablo A. Iglesias
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Norm Estimates for Commutators of Operators
Journal of the London Mathematical Society, 1998Suppose \(A\), \(B\) are two selfadjoint operators and \(f(x)\) is a continuous function on some interval containing their spectra. In case \(f'\) is bounded, one would expect to find an estimate of the form \[ \| f(A)- f(B) \|\leq \text{const} \| f' \|_\infty \| A-B \|. \] However, this is not true in general (a counterexample was given, for instance,
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OSQP: an operator splitting solver for quadratic programs
Mathematical Programming Computation, 2020Bartolomeo Stellato+2 more
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Tensor Robust Principal Component Analysis with a New Tensor Nuclear Norm
IEEE Transactions on Pattern Analysis and Machine Intelligence, 2020Canyi Lu, Jiashi Feng, Yudong Chen
exaly
Weighted Nuclear Norm Minimization and Its Applications to Low Level Vision
International Journal of Computer Vision, 2017Shuhang Gu, Qi Xie, Xiangchu Feng
exaly