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Mathematical Notes

, Volume 61, Issue 5, pp 561–565 | Cite as

Continuation of a linear operator to an involution operator

  • M. I. Kadets
  • K. É. Kaibkhanov
Article
  • 57 Downloads

Abstract

A bounded linear operatorA:XX in a linear topological spaceX is called ap-involution operator,p≥2, ifAp=I, whereI is the identity operator. In this paper, we describe linearp-involution operators in a linear topological space over the field ℂ and prove that linear operators can be continued to involution operators.

Key words

linear topological space linear operator p-involution operator 

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References

  1. 1.
    J. Lindenstrauss and L. Tzafriri,Classical Banach Spaces. I.Sequence Spaces, Springer, Berlin (1977).Google Scholar

Copyright information

© Plenum Publishing Corporation 1997

Authors and Affiliations

  • M. I. Kadets
    • 1
  • K. É. Kaibkhanov
    • 2
  1. 1.Khar'kov State Academy of Municipal EconomyKhar'KovUSSR
  2. 2.Taganrog Radiotechnical UniversityTaganrogUSSR

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