Extremal Vectors for a Class of Operators

Authors

  • Larry Downey School of Science, Penn State University at Erie, Station Road, Erie, USA
  • Boon W. Ong Penn State University at Erie, Station Road, Erie, USA

DOI:

https://doi.org/10.5644/SJM.04.2.11

Keywords:

Extremal vectors, Volterra, asymptotic, series

Abstract

In this note, we study extremal vectors for a class of operators with a special application to the the Volterra operator. The study requires the description of the asymptotic behavior of a class of infinite series involving a real parameter.

 

2000 Mathematics Subject Classification. 47A05, 40C99

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References

S. Ansari and P. Enflo, Extremal vectors and invariant subspaces, Trans. Amer. Math. Soc., 350 (1998), 539–558.

S. D. Fisher, Complex Variables, 2nd ed., Dover Publications, 1990.

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Published

11.06.2024

How to Cite

Downey, L., & Ong, B. W. (2024). Extremal Vectors for a Class of Operators. Sarajevo Journal of Mathematics, 4(2), 259–268. https://doi.org/10.5644/SJM.04.2.11

Issue

Vol. 4 No. 2 (2008)

Section

Articles