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The Complex Plank Problem
Authors:Ball  Keith M
Institution:Department of Mathematics, University College London Gower Street, London WC1E 6BT; kmb{at}math.ucl.ac.uk
Abstract:It is shown that if Formula is a sequence of norm 1 vectors in a complex Hilbert space and Formula is a sequence of non-negative numbers satisfying Formula then there is a unit vector z for which Formula for every j. The result is a strong,complex analogue of the author's real plank theorem.
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