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A note about Volterra operator

  • Lkhamjav Khadkhuu EMAIL logo and Dashdondog Tsedenbayar
Published/Copyright: October 20, 2018
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Abstract

Let V denote the classical Volterra operator on L2[0,1] and let z1,z2 be arbitrary complex numbers. We investigated the operator norm of z1V+z2V*.

MSC 2010: 47A10; 47A12
  1. Communicated by Michal Zajac

Acknowledgement

The authors would like to thank Prof. Jaroslav Zemánek and Michal Zajac for useful discussions during the preparation of this article. The authors grateful for the referee’s valuable comments that improved the paper.

References

[1] HALMOS, P. R.: A Hilbert Space Problem Book, Springer-Verlag New York Inc., 1982.10.1007/978-1-4684-9330-6Search in Google Scholar

Received: 2017-02-06
Accepted: 2017-09-28
Published Online: 2018-10-20
Published in Print: 2018-10-25

© 2018 Mathematical Institute Slovak Academy of Sciences

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