Oleksiy Karlovych

Associate Professor, Department of Mathematics

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Publications

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2023
Karlovych, Oleksiy, and Eugene Shargorodsky. "When are the norms of the Riesz projection and the backward shift operator equal to one?" Journal of Functional Analysis. 285.12 (2023): Paper No. 110158.Website
2021
Karlovich, Alexei Yu. "Wavelet bases in Banach function spaces." Bulletin of the Malaysian Mathematical Sciences Society. 44.3 (2021): 1669-1689.Website
2019
Karlovich, Alexei Yu., and Eugene Shargorodsky. "When does the norm of a Fourier multiplier dominate its L-infinfty norm?" Proceedings of the London Mathematical Society. 118 (2019): 901-941.Website

Recent Publications

  • Introduction to the spectral theory of Toeplitz operators
  • Fredholm discrete Wiener-Hopf operators on reflexive rearrangement-invariant Banach sequence spaces are one-sided invertible
  • Minimality of the Riesz projection among projections onto abstract Hardy spaces and related topics
  • Maximal noncompactness of Wiener-Hopf operators
  • Gohberg-Krupnik localisation for discrete Wiener-Hopf operators on Orlicz sequence spaces
  • Achievements and Challenges in the Field of Convolution Operators. The Yuri Karlovich Anniversary Volume. Operator Theory: Advances and Applications, vol. 306
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