Abstract
The purpose of this paper is to present in Hilbert spaces some results for a new class of operators called semi-generalized partial isometries which include two important classes in operator theory: partial isometries and nilpotent operators. We prove some basic properties and decomposition theorems. Some spectral theorems for this class of operators are also given. Part of the results proved in this paper improve and generalize some results known for partial isometries.
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