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arXiv · 2205.00252

Invariant subspaces of powers of some unicellular operators

Sneh Lata·Sushant Pokhriyal·Dinesh Singh
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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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Sneh Lata, Sushant Pokhriyal, Dinesh Singh. 2022-04-30. Invariant subspaces of powers of some unicellular operators. https://arxiv.org/abs/2205.00252

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