Invariant subspaces in Bergman spaces and the biharmonic equation.

Invariant Subspaces of Bergman Spaces on Slit Domains

In this paper, we characterize the z-invariant subspaces that lie between the Bergman spaces A(G) and A(G\K), where 1 < p <∞, G is a bounded region in C, and K is a closed subset of a simple, compact, C arc.

Subspaces of Rearrangement-invariant Spaces

We prove a number of results concerning the embedding of a Banach lattice X into an r. i. space Y. For example we show that if Y is an r. i. space on [0, oo) which is/7-convex for some/? > 2 and has nontrivial concavity then any Banach lattice X which is r-convex for some r > 2 and embeds into Y must embed as a sublattice. Similar conclusions can be drawn under a variety of hypotheses on Y; if ...

Invariant Subspaces, Quasi-invariant Subspaces, and Hankel Operators

In this paper, using the theory of Hilbert modules we study invariant subspaces of the Bergman spaces on bounded symmetric domains and quasi-invariant sub-spaces of the Segal–Bargmann spaces. We completely characterize small Hankel operators with finite rank on these spaces.

ε-weakly Chebyshev subspaces and quotient spaces

Invariant subspaces in Simpira

In this short note we report on invariant subspaces in Simpira in the case of four registers. In particular, we show that the whole input space (respectively output space) can be partitioned into invariant cosets of dimension 56 over F 28 . These invariant subspaces are found by exploiting the non-invariant subspace properties of AES together with the particular choice of Feistel configuration....