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A structure theorem for operators with closed range

Published online by Cambridge University Press:  17 April 2009

James Guyker
James Guyker
Affiliation:
Department of Mathematics, State University of New York, College at Buffalo, Buffalo, New York, USA.
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Abstract

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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.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 18 , Issue 2 , April 1978 , pp. 169 - 186
Copyright
Copyright © Australian Mathematical Society 1978

References

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