Abstract
P. G. Casazza, O. Christensen, S. Li, and A. Lindner proved in [3] that some families of complex exponentials were either Riesz bases or not frames in L2[-π,π]. First, we shall advance their results in this note. Sedletskii constructed in [9] an exponential system which is complete, minimal and not uniformly minimal with separable spectrum in L2[-π,π]. Next, we shall construct a similar example with nonseparable spectrum in L2[-π,π].
Citation
Akihiro Nakamura. "On the Riesz bases, frames and minimal exponential systems in L2[-π,π]." Hokkaido Math. J. 40 (1) 89 - 102, February 2011. https://doi.org/10.14492/hokmj/1300108400
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