Large Bergman spaces: invertibility, cyclicity, and subspaces of arbitrary index
Functional Analysis
2007-05-23 v1 Complex Variables
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 nontrivial bilaterally invariant subspaces in anti-symmetrically weighted Hilbert spaces of sequences.
Cite
@article{arxiv.math/0304318,
title = {Large Bergman spaces: invertibility, cyclicity, and subspaces of arbitrary index},
author = {Alexander Borichev and Hakan Hedenmalm and Alexander Volberg},
journal= {arXiv preprint arXiv:math/0304318},
year = {2007}
}
Comments
40 pages