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Published in last 50 years
A spectral theory for certain operators on a direct sum of Hilbert spaces
In [1, Theorem 2.7] N. Dunford gave a necessary and sufficient condition for an operator in U p to be spectral. The purpose of this note is to furnish a direct proof for his criterion avoiding the use of his Lemma 2.5 and Theorem 2.6 of [1].