Chanaka Kottegoda, Trieu Le, Tomas Miguel Rodriguez
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引用次数: 0
Abstract
Abstract Given a weighted shift T of multiplicity two, we study the set
$\sqrt {T}$
of all square roots of T. We determine necessary and sufficient conditions on the weight sequence so that this set is non-empty. We show that when such conditions are satisfied,
$\sqrt {T}$
contains a certain special class of operators. We also obtain a complete description of all operators in
$\sqrt {T}$
.
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