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A note about Volterra operator
-
Lkhamjav Khadkhuu
und
Dashdondog Tsedenbayar
Veröffentlicht/Copyright:
20. Oktober 2018
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
Keywords: Volterra operator; norm
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., 1982.10.1007/978-1-4684-9330-6Suche 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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Artikel in diesem Heft
- Prof. RNDr. Beloslav Riečan, DrSc., Dr.h.c. *NOV. 10, 1936 – †AUG. 13, 2018
- On the n × n × n Rubik's Cube
- Congruences involving alternating harmonic sums modulo pαqβ
- On the proximity of large primes
- On the factorizations of cubic polynomials with the same discriminant modulo a prime
- Some results on abstract convexity of functions
- Remarks on b-Metric and metric-preserving functions
- Generalization of Ostrowski inequality for convex functions
- On microscopic sets and Fubini Property in all directions
- New subfamily of meromorphic multivalent starlike functions in circular domain involving q-differential operator
- Application of tan(φ(ξ)/2)-expansion method to burgers and foam drainage equations
- Approximate sentinels for diffusion phenomena with pollution
- Remarks on a semilinear system in ℝn motivated by difference equations
- Oscillation tests for difference equations with several non-monotone deviating arguments
- On the regularity of one-sided fractional maximal functions
- A note on a Banach’s fixed point theorem in b-rectangular metric space and b-metric space
- A note about Volterra operator
- Some reverse and numerical radius inequalities
- A class of four-dimensional CR submanifolds in six dimensional nearly Kähler manifolds
- Sequential decreasing strong size properties
- Approximation of Information Divergences for Statistical Learning with Applications
- Wigner's theorem for an infinite set
- A note on automorphisms of lie ideals in prime rings
