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May 2019 An Application of Infinite Sums and Products Relating to Spectral Synthesis
Melanie Henthorn-Baker
Missouri J. Math. Sci. 31(1): 1-13 (May 2019). DOI: 10.35834/mjms/1559181622

Abstract

The following is a discussion regarding a specific set of operators acting on the space of functions analytic on the unit disk. A diagonal operator is said to admit spectral synthesis if all of its invariant subspaces can be expressed as a closed linear span of a subset of its eigenvectors. This article employs various techniques for verifying the convergence of infinite products and infinite sums as a means of demonstrating that a certain class of operators fail to admit spectral synthesis.

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Melanie Henthorn-Baker. "An Application of Infinite Sums and Products Relating to Spectral Synthesis." Missouri J. Math. Sci. 31 (1) 1 - 13, May 2019. https://doi.org/10.35834/mjms/1559181622

Information

Published: May 2019
First available in Project Euclid: 30 May 2019

zbMATH: 07276109
MathSciNet: MR3960283
Digital Object Identifier: 10.35834/mjms/1559181622

Subjects:
Primary: 47A15
Secondary: 30D10, 40A05, 40A20

Rights: Copyright © 2019 Central Missouri State University, Department of Mathematics and Computer Science

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Vol.31 • No. 1 • May 2019
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