On pairs of generalized and hypergeneralized projections in a Hilbert space

Sonja Radosavljevic, Dragan Djordjevic


We characterize generalized and hypergeneralized projection i.e. bounded linear operators
which satisfy conditions A2 = A, or A2 = Ay, respectively. We establish their matrix representations and
examine conditions which imply that the product, dierence and sum of these operators belongs to same
class of operators.

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