Abstract
AbstractThe shift operator and its various generalizations are amongst the most widely studied operators on a Hilbert space. In this paper, we characterize antinormal and m-isometric shift operator S on the Hilbert space $$L^2({\mathcal {T}},\lambda ) $$
L
2
(
T
,
λ
)
associated with a locally finite directed weighted tree $${\mathcal {T}}$$
T
. We also discuss interesting connections between antinormality and m-isometry of S.
Funder
University Grants Commission, New Delhi, India
Publisher
Springer Science and Business Media LLC
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