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Your questions are weakenings of the Feichtinger conjecture, which is equivalent to the Kadison-Singer problem. See http://www.aimath.org/WWN/kadisonsinger/FrameProblems.pdf and the references therein. Your second question is Problem 2.2 there. and the references therein. The questions themselves are not obvious ones. Why did you ask them? |
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Your questions are weakenings of the Feichtinger conjecture, which is equivalent to the Kadison-Singer problem. See http://www.aimath.org/WWN/kadisonsinger/FrameProblems.pdf Your second question is Problem 2.2 there. and the references therein. The questions themselves are not obvious ones. Why did you ask them? |
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