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A Note About Numerical Range of Some Volterra Polynomials

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Let V be the classical Volterra operator, and let S be the operator of multiplication by an exponential function on L2(0, 1). We introduce the numerical range technique for the operators S-1V S and (I+V)−1 on L2(0, 1). We present the operator norm, numerical range, numerical radius, and accretive properties of the real and imaginary parts for such polynomials.

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Authors and Affiliations

  1. Chifeng University, No. 1, Yingbin Road, Hongshan District, Chifeng, 024000, Inner Mongolia, China

    Wurenqiqige

  2. Mongolian National University of Education, 54 Baga toiruu, Sukhbaatar District, Ulaanbaatar, 14191, Mongolia

    Wurenqiqige

  3. Mongolian University of Science and Technology, 34 Baga toiruu, Sukhbaatar District, , Ulaanbaatar, 14191, Mongolia

    Dashdondog Tsedenbayar

  4. Mongolian Academy of Sciences, 54 B Peace Av, Bayanzurkh District, Ulaanbaatar, 13330, Mongolia

    Dashdondog Tsedenbayar & Lkhamjav Khadkhuu

Authors
  1. Wurenqiqige
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  2. Dashdondog Tsedenbayar
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  3. Lkhamjav Khadkhuu
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Corresponding author

Correspondence to Dashdondog Tsedenbayar.

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Wurenqiqige, Tsedenbayar, D. & Khadkhuu, L. A Note About Numerical Range of Some Volterra Polynomials. J Math Sci 279, 876–884 (2024). https://doi.org/10.1007/s10958-024-07067-3

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  • DOI: https://doi.org/10.1007/s10958-024-07067-3

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