Abstract
We consider the notion of structural singular value introduced to study robustness properties of systems for Hilbert space operators. We consider the cases where the underlying algebras are L(H), the algebra of all bounded linear operators on a Hilbert space H, and nest algebras. We point out the relationship between these results and those of Yu. Shmul’yan on mappings on the unit ball of operators by fractional linear transformations and extend his results to nest algebras.
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Feintuch, A., Markus, A. (2000). The Structured Norm of a Hilbert Space Operator with respect to a Given Algebra of Operators. In: Bercovici, H., Foias, C.I. (eds) Operator Theory and Interpolation. Operator Theory Advances and Applications, vol 115. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8422-8_7
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DOI: https://doi.org/10.1007/978-3-0348-8422-8_7
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