Title of article
Large Bergman spaces: invertibility, cyclicity, and subspaces of arbitrary index
Author/Authors
Alexander Borichev، نويسنده , , H?kan Hedenmalm، نويسنده , , Alexander Volberg، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2004
Pages
50
From page
111
To page
160
Abstract
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.
Keywords
Bergman Spaces , Index of invariant subspaces , Bilaterally invariant subspaces , Weighted Hilbert spaces of sequences , Cyclic vectors
Journal title
Journal of Functional Analysis
Serial Year
2004
Journal title
Journal of Functional Analysis
Record number
761719
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