Large Bergman spaces: invertibility, cyclicity, and subspaces of arbitrary index

Details Large Bergman spaces: invertibility, cyclicity, and subspaces of arbitrary index Large Bergman spaces: invertibility, cyclicity, and subspaces of arbitrary index

2003-04-22

arxiv.org/abs/math/0304318v1

Mathematics

Functional Analysis

40 pages

Scientific paper

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.

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