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THE COMPLEX PLANK PROBLEM
KEITH M. BALL
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Source: Crossref
Published: Jul 1, 2001
DOI: 10.1017/s002460930100813x
Open original source ↗Source abstract
It is shown that if ( v j ) n 1 is a sequence of norm 1 vectors in a complex Hilbert space and ( t j ) n 1 is a sequence of non-negative numbers satisfying [formula here] then there is a unit vector z for which [formula here] for every j . The result is a strong, complex analogue of the author's real plank theorem.
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