An application of infinite sums and products relating to spectral synthesis

DOI10.35834/mjms/1559181622OpenAlexW2960215764MaRDI QIDQ2212216

Melanie Henthorn-Baker

Publication date: 19 November 2020

Published in: Missouri Journal of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.mjms/1559181622

zbMATH Keywords

sequencesmatrix theoryseriesoperator theoryand summabilityfunctions of one complex variablelinear and multilinear algebra

Mathematics Subject Classification ID

Convergence and divergence of series and sequences (40A05) Invariant subspaces of linear operators (47A15) Representations of entire functions of one complex variable by series and integrals (30D10) Convergence and divergence of infinite products (40A20)

Cites Work

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• An interesting infinite series and its implications to operator theory
• The present state and heritages of the invariant subspace problem
• Cyclic vectors of diagonal operators on the space of functions analytic on a disk
• Spectral synthesis of diagonal operators and representing systems for the space of entire functions
• Cyclic vectors of diagonal operators on the space of entire functions
• A connection between operator topologies, polynomial interpolation, and synthesis of diagonal operators
• The Generalized Vandermonde Matrix
• The present state of the spectral analysis-synthesis problem. I

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