Liang, Y and Partington, JR orcid.org/0000-0002-6738-3216 (2022) Nearly invariant subspaces for shift semigroups. Science China Mathematics, 65 (9). pp. 1895-1908. ISSN 1674-7283
Abstract
Let {T(t)}t⩾0 be a C0-semigroup on an infinite-dimensional separable Hilbert space; a suitable definition of near {T(t)*}t⩾0 invariance of a subspace is presented in this paper. A series of prototypical examples for minimal nearly {S(t)*}t⩾0 invariant subspaces for the shift semigroup {S(t)}t⩾0 on L2(0, ∞) are demonstrated, which have close links with near T∗θ
invariance on Hardy spaces of the unit disk for an inner function θ. Especially, the corresponding subspaces on Hardy spaces of the right half-plane and the unit disk are related to model spaces. This work further includes a discussion on the structure of the closure of certain subspaces related to model spaces in Hardy spaces.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2022, Science China Press and Springer-Verlag GmbH Germany, part of Springer Nature. This is an author produced version of an article published in Science China Mathematics. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | nearly invariant subspace, C 0-semigroup, shift semigroup, model space |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Pure Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 29 Sep 2021 09:32 |
Last Modified: | 10 Jun 2023 00:13 |
Status: | Published |
Publisher: | Springer |
Identification Number: | 10.1007/s11425-020-1915-y |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:178518 |