A Shift Operator on L(H^2)

Mathematics – Functional Analysis

Scientific paper

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9 pages

Scientific paper

We give definitions and some properties of the shift operator S_{L(H^2)} and
multiplication operator on L(H^2). In addition, we obtain some properties of
the commutant of the shift operator S_{L(H^2)} and characterize
S_{L(H^2)}-invariant subspaces.

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