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A construction of complete minimal, but not uniformly minimal, exponential systems with real separable spectrum inL p andC

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Abstract

We construct real separable sequences {λ n } such that the corresponding systems of exponentials exp(iλ n t) are complete and minimal, but not uniformly minimal, in the spacesL p (−π, π), 1≤p<∞, orC[−π, π].

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Authors and Affiliations

  1. Moscow Energy Institute, USSR

    A. M. Sedletskii

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  1. A. M. Sedletskii
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Translated fromMatematicheskie Zametki, Vol. 58, No. 4, pp. 582–595, October, 1995.

The work was supported by the Russian Foundation for Basic Research under grant No. 93-011-205

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Sedletskii, A.M. A construction of complete minimal, but not uniformly minimal, exponential systems with real separable spectrum inL p andC . Math Notes 58, 1084–1093 (1995). https://doi.org/10.1007/BF02305097

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  • DOI: https://doi.org/10.1007/BF02305097

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