On a Question Posed by D. Leviatan and L. Lorch
Canadian mathematical bulletin, Tome 15 (1972) no. 3, p. 453
Voir la notice de l'article provenant de la source Cambridge University Press
In this note we construct a pair of regular matrices T 1 and T 2 such that T 1 is stronger than T 2, and the T 2-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 T 1-transform is not connected. This provides a negative answer to a question posed by Leviatan and Lorch [3, §6, (c)].
Tzimbalario, Jean. On a Question Posed by D. Leviatan and L. Lorch. Canadian mathematical bulletin, Tome 15 (1972) no. 3, p. 453. doi: 10.4153/CMB-1972-083-5
@article{10_4153_CMB_1972_083_5,
author = {Tzimbalario, Jean},
title = {On a {Question} {Posed} by {D.} {Leviatan} and {L.} {Lorch}},
journal = {Canadian mathematical bulletin},
pages = {453--453},
year = {1972},
volume = {15},
number = {3},
doi = {10.4153/CMB-1972-083-5},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1972-083-5/}
}
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