On Some n-Involution and k-Potent Operators on Hilbert Spaces
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Date
2024-08-13
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Publisher
SciencePG
Abstract
In this paper, we survey various results concerning n -involution operators and k -potent operators in Hilbert
spaces. We gain insight by studying the operator equation n
T I = , with , 1 k
T I k n ≠ ≤ − where n k, ∈N . We study the
structure of such operators and attempt to gain information about the structure of closely related operators, associated operators
and the attendant spectral geometry. The paper concludes with some applications in integral equations.