Results 281 to 290 of about 25,259 (306)

Norm Estimates for Commutators of Operators

Journal of the London Mathematical Society, 1998
Suppose \(A\), \(B\) 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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The Essential Norm of a Composition Operator

The Annals of Mathematics, 1987
Let \(\Omega\subset{\mathbb{C}}^ n\) be a domain and \(\Phi: \Omega\to \Omega\) a mapping. The operator \(T: f\to f\circ \Phi\) is called a composition operator. The subject of composition operators represents a fertile arena for the interaction of operator theory, hard analysis, and geometry.
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Estimates for the Norm of the Hardy Operator in Operator Ideals

Siberian Mathematical Journal
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
E. N. Lomakina, M. G. Nasyrova
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On probabilistic norm of a linear operators and space of operators

Applied Mathematics and Mechanics, 1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Extreme values of operator norms in spaces with equivalent norms

Journal of Mathematical Sciences, 1999
Let \((L,\|\cdot\|)\) and \((L,\|\cdot\|_{\ast})\) be normed spaces and let the norms \(\|\cdot\|\) and \(\|\cdot\|_{\ast}\) be equivalent. Then there exist the exact constants \(\alpha\) and \(\beta\) such that \(\alpha\|\cdot\|\leq\|\cdot\|_{\ast}\leq\beta\|\cdot\|.\) The functional \[ \rho\left(\|\cdot\|,\|\cdot\|_{\ast}\right) =\ln\frac{\beta ...
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The Differentiability of the Norm of a Linear Operator

Journal of the London Mathematical Society, 1955
Stein, P., Peck, J. E. L.
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Operator Norms

2023
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Norm and essential norm of an integral‐type operator from the logarithmic Bloch space to the Bloch‐type space on the unit ball

Mathematical Methods in the Applied Sciences, 2022
Stevo Stevic
exaly  

Operator Norms

1988
G. R. Belitskii, Yurii I. Lyubich
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On the norm of a Hilbert's type linear operator and applications

Journal of Mathematical Analysis and Applications, 2007
Bicheng Yang
exaly