Continuation of a linear operator to an involution operator
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A bounded linear operatorA:X→X 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 wordslinear topological space linear operator p-involution operator
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