Invariant subspaces of powers of some unicellular operators

Published 30 Apr 2022 in math.FA | (2205.00252v1)

Abstract: In this paper we study subspaces which are invariant under squares and cubes (separately as well as jointly) of unicellular backward weighted shift operators on a separable Hilbert space. The finite-dimensional subspaces are characterized for all weights and the infinite-dimensional subspaces are characterized for two classes of weights.

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