Kronecker’s Products and Kronecker’s Sums of Operators

Michael Gil’ ()
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Michael Gil’: Ben Gurion University of the Negev, Department of Mathematics

A chapter in Contributions in Mathematics and Engineering, 2016, pp 205-253 from Springer

Abstract: Abstract This chapter is a survey of recent results of the author on operators on tensor products of Hilbert and Euclidean spaces. We derive norm estimates for the resolvents of Kronecker’s products of operators, Kronecker’s sums of operators, and operator pencils on tensor products of Hilbert spaces. By these estimates, we investigate bounds for spectra of perturbed operators. Applications of our results to matrix differential and integro-differential operators are also discussed.

Keywords: Kronecker; Operator Pencil; Integro-differential Operator; Derive Norm Estimates; Schur Basis (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-31317-7_12

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DOI: 10.1007/978-3-319-31317-7_12

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