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q-Difference Operator and Its q-Cohyponormality

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Abstract

In this study the minimal and maximal operator generated by q-difference expression and their adjoint operators are introduced in \( {L_{q}^{2}} (0,1)\). Any closed extension of the minimal operator is studied. Also, the structure of the spectrum of the minimal operator and the maximal operator are investigated.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Sciences, Karadeniz Technical University, 61080, Trabzon, Turkey

    Meltem Sertbaş

  2. Institute of Natural Sciences, Karadeniz Technical University, 61080, Trabzon, Turkey

    Coşkun Saral

Authors
  1. Meltem Sertbaş
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  2. Coşkun Saral
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Corresponding author

Correspondence to Meltem Sertbaş.

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Communicated by Ilwoo Cho.

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Sertbaş, M., Saral, C. q-Difference Operator and Its q-Cohyponormality. Complex Anal. Oper. Theory 14, 84 (2020). https://doi.org/10.1007/s11785-020-01043-w

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  • DOI: https://doi.org/10.1007/s11785-020-01043-w

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