ON SPECTRUM OF BILATERAL SHIFT OPERATORS

Moses N. Odhiambo

Abstract


Studies on bilateral shifts have been done with a lot of consideration on norms and adjoints.  In this paper, we give a special focus to spectrum of bilateral shifts. We show that if no vanishes, then . If finitely many   vanish, then , where the right shift with is weights , where is the last zero weight. If finitely many  vanish then .

Keywords: Bilateral shift, spectrum, eigenvalues, Hilbert space.


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References


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