Spectral results for operators commuting with translations on Banach spaces of sequences on Z^k and Z^+
Violeta Petkova

TL;DR
This paper investigates the spectral properties of operators commuting with shift operators on various Banach spaces of sequences, extending known results to higher dimensions and different sequence spaces.
Contribution
It generalizes spectral results for multipliers on Banach spaces of sequences from Z to Z^k and Z^+, providing a broader understanding of these operators.
Findings
Spectral characterization of multipliers on Banach spaces of sequences on Z.
Extension of spectral results to operators on Z^k and Z^+.
Identification of the spectrum for operators commuting with shift operators.
Abstract
We study the spectrum of multipliers (bounded operators commuting with the shift operator S) on Banach spaces of sequences on Z and the spectrum of operators commuting with the shift on Banach spaces of sequences on Z^+.We generalize the results for multipliers on Banach spaces of sequences on Z^k.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Banach Space Theory · Approximation Theory and Sequence Spaces · Holomorphic and Operator Theory
