Invariant subspaces of arbitrary multiplicity for the shift on ℓ 1

Aharon Atzmon

doi:10.1090/s0002-9939-00-05759-2

Invariant subspaces of arbitrary multiplicity for the shift on ℓ 1

Aharon Atzmon

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

It is shown that if n is a positive integer or n = ∞, then the unilateral shift on ℓ¹ has an invariant subspace such that its restriction to it has multiplicity n.

Original language	English
Pages (from-to)	1963-1967
Number of pages	5
Journal	Proceedings of the American Mathematical Society
Volume	129
Issue number	7
DOIs	https://doi.org/10.1090/s0002-9939-00-05759-2
State	Published - 2001

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abstract = "It is shown that if n is a positive integer or n = ∞, then the unilateral shift on ℓ1 has an invariant subspace such that its restriction to it has multiplicity n.",

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Invariant subspaces of arbitrary multiplicity for the shift on ℓ 1

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