Continuation of a linear operator to an involution operator |
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| Authors: | M I Kadets K É Kaibkhanov |
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| Institution: | (1) Khar'kov State Academy of Municipal Economy, Khar'Kov, USSR;(2) Taganrog Radiotechnical University, Taganrog, USSR |
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| Abstract: | A bounded linear operatorA:X→X 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 |
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| Keywords: | linear topological space linear operator p-involution operator |
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