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Mathematica Slovaca

Editor-in-Chief: Pulmannová, Sylvia

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Volume 68, Issue 5

Issues

A note about Volterra operator

Lkhamjav Khadkhuu
  • Department of Mathematical Analysis National University of Mongolia P.O.Box 46/145 National University Street-3 Ulaanbaatar Mongolia
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/ Dashdondog Tsedenbayar
  • Department of Applied Mathematics Mongolian University of Science and Technology P.O.Box 46/520 Ulaanbaatar Mongolia
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Published Online: 2018-10-20 | DOI: https://doi.org/10.1515/ms-2017-0173

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

Keywords: Volterra operator; norm

References

  • [1]

    HALMOS, P. R.: A Hilbert Space Problem Book, Springer-Verlag New York Inc., 1982.Google Scholar

About the article

Received: 2017-02-06

Accepted: 2017-09-28

Published Online: 2018-10-20

Published in Print: 2018-10-25


Communicated by Michal Zajac


Citation Information: Mathematica Slovaca, Volume 68, Issue 5, Pages 1117–1120, ISSN (Online) 1337-2211, ISSN (Print) 0139-9918, DOI: https://doi.org/10.1515/ms-2017-0173.

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