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Continuation of a linear operator to an involution operator
Authors:M. I. Kadets  K. É. Kaibkhanov
Affiliation:(1) Khar'kov State Academy of Municipal Economy, Khar'Kov, USSR;(2) Taganrog Radiotechnical University, Taganrog, USSR
Abstract:A bounded linear operatorA:XX in a linear topological spaceX is called ap-involution operator,p≥2, ifA p=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. Translated fromMatematicheskie Zametki, Vol. 61, No. 5, pp. 671–676, May, 1997. Translated by M. A. Shishkova
Keywords:linear topological space  linear operator   p-involution operator
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