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On a Question Posed by D. Leviatan and L. Lorch
Published online by Cambridge University Press: 20 November 2018
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In this note we construct a pair of regular matrices T1 and T2 such that T1 is stronger than T2, and the T2-transforms of all bounded sequences are such that the sets of limit-points are connected, while there is a bounded sequence such that the set of limit-points of its T1-transform is not connected. This provides a negative answer to a question posed by Leviatan and Lorch [3, §6, (c)].
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- Copyright © Canadian Mathematical Society 1972
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