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math.FA2026
Frame constructions associated with operator orbits
Eva A. Gallardo-Gutiérrez, Jonathan R. Partington
This paper studies frames in Hilbert spaces generated by the orbits of (in)-finitely many vectors under a single operator, presenting new results on multiplication operators and op…
math.FA2026
Spectral cuts and unconventional functional calculi
Eva A. Gallardo-Gutiérrez, F. Javier González-Doña
In this work, we prove that linear bounded operators on a Banach space allowing spectral cuts along rectifiable Jordan curves meeting their spectrum are related to classes…