Alexandru Aleman

Beurling's Theorem for the Bergman space

A celebrated theorem in operator theory is A. Beurlings description of the invariant subspaces in

Simply invariant subspaces of H2 of some multiply connected regions

H^2

THE MAJORIZATION FUNCTION AND THE INDEX OF INVARIANT SUBSPACES IN THE BERGMAN SPACES

in terms of inner functions [Acta Math. {\bf81} (1949), 239--255; MR0027954 (10,381e)]. To do the same thing for the Bergman space

Multiplicative Isometries and Isometric Zero-Divisors

L^2_a

SUBNORMAL OPERATORS WITH COMPACT SELFCOMMUTATOR

has been deemed virtually impossible by many analysts, in view of the fact that the lattice of invariant subspaces is so large, and that the invariant subspaces may have weird properties as viewed from the

Zero products of Toeplitz operators

H^2

Estimates in Möbius invariant spaces of analytic functions.

perspective. The size of the lattice can be appreciated from the known fact that essentially every operator on separable Hilbert space can be realized as the compression of the Bergman shift on

Hankel operators on Bergman spaces and similarity to contractions

M\ominus N

On weak and strong solution operators for evolution equations coming from quadratic operators

, where

On Blaschke products with derivatives in Bergman spaces with normal weights

M