The Feichtinger Conjecture and Reproducing Kernel Hilbert Spaces

@article{Lata2010TheFC,
  title={The Feichtinger Conjecture and Reproducing Kernel Hilbert Spaces},
  author={Sneh Lata and Vern I. Paulsen},
  journal={arXiv: Functional Analysis},
  year={2010}
}
We prove two new equivalences of the Feichtinger conjecture that involve reproducing kernel Hilbert spaces. We prove that if for every Hilbert space, contractively contained in the Hardy space, each Bessel sequence of normalized kernel functions can be partitioned into finitely many Riesz basic sequences, then a general bounded Bessel sequence in an arbitrary Hilbert space can be partitioned into finitely many Riesz basic sequences. In addition, we examine some of these spaces and prove that… 
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