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Published in 2018 at "Bulletin of the Malaysian Mathematical Sciences Society"
DOI: 10.1007/s40840-016-0307-5
Abstract: For a positive integer m, a bounded linear operator T on a Hilbert space $$\mathbb {H}$$H is called an (A, m)-isometry, if $$\Theta ^{(m)}_{A}(T) =\sum _{k=0}^{m}(-1)^{m-k}{m\atopwithdelims ()k}T^{*k}AT^{k}=0$$ΘA(m)(T)=∑k=0m(-1)m-kmkT∗kATk=0, where A is a positive (semi-definite) operator. In this…
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Keywords:
unilateral weighted;
isometric unilateral;
weighted shifts;
shifts semi ... See more keywords