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A structure theorem for operators with closed range
Published online by Cambridge University Press: 17 April 2009
Abstract
A characterization has previously been given for linear transformations in Hilbert space whose first N + 1 powers are partial isometries. An analogous characterization is now obtained for transformations whose first N+ 1 powers have closed ranges. A hypothesis (that transformations have no isometric part) is found to be unnecessary in previous work.
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- Copyright © Australian Mathematical Society 1978
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