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Large Bergman spaces: invertibility, cyclicity, and subspaces of arbitrary index
KTH, Superseded Departments, Mathematics.ORCID iD: 0000-0002-4971-7147
2004 (English)In: Journal of Functional Analysis, ISSN 0022-1236, E-ISSN 1096-0783, Vol. 207, no 1, 111-160 p.Article in journal (Refereed) Published
Abstract [en]

In a wide class of weighted Bergman spaces, we construct invertible non-cyclic elements. These are then used to produce z-invariant subspaces of index higher than one. In addition, these elements generate non-trivial bilaterally invariant subspaces in anti-symmetrically weighted Hilbert spaces of sequences.

Place, publisher, year, edition, pages
2004. Vol. 207, no 1, 111-160 p.
Keyword [en]
Bergman spaces, cyclic vectors, index of invariant subspaces, bilaterally invariant subspaces, weighted Hilbert spaces of sequences, translation invariant subspaces, weighted hilbert-spaces, analytic-functions, banach-spaces, sequences, shift
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-23088DOI: 10.1016/s0022-1236(03)00193-9ISI: 000188063100005Scopus ID: 2-s2.0-1642437994OAI: oai:DiVA.org:kth-23088DiVA: diva2:341786
Note
QC 20100525 QC 20111031Available from: 2010-08-10 Created: 2010-08-10 Last updated: 2017-12-12Bibliographically approved

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Hedenmalm, Håkan

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