Hereditarily strictly cyclic operator algebras
The irreducible Hilbert space representations of a ⁎-algebra, the graded analogue of the Lie algebra of the group of plane motions, are classified up to unitary equivalence.
A class of Banach spaces of compact operators in Hilbert spaces is introduced, and the holomorphic automorphism groups of the unit balls of these spaces are investigated.
In this paper a complete characterization of hyperreflexive operators on finite dimensional Hilbert spaces is given.