Bulletin of the London Mathematical Society · 2001 · 56 citations · 2 references
Natural SciencesMathematicsApplied MathematicsMathematical PhysicsPhilosophy Of MathematicsHilbert Space FormalismOperator Theory
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.
2
The plank problem for symmetric bodies
Keith Ball · Inventiones mathematicae · 1991 · 86 citations · Full text