Commutants of Nest Algebras Modulo the Compact Operators.
Convergence of derivations on nearest algebras.
Cyclic vectors for operator algebras
Decompositions of operator-valued functions in Hilbert spaces
Denting point in the space of operator-valued continuous maps.
In a former paper we describe the geometric properties of the space of continuous functions with values in the space of operators acting on a Hilbert space. In particular we show that dent B(L(H)) = ext B(L(H)) if dim H < 8 and card K < 8 and dent B(L(H)) = 0 if dim H < 8 or card K = 8, and x-ext C(K,L(H)) = ext C(K,L(H)).
Derivations of Nest Algebras.
Diagonality in C*-Algebras.
Dilations to systems of matrix units
Dimensions of components of tensor products of representations of linear groups with applications to Beurling-Fourier algebras
We give universal upper bounds on the relative dimensions of isotypic components of a tensor product of representations of the linear group GL(n) and universal upper bounds on the relative dimensions of irreducible components of a tensor product of representations of the special linear group SL(n). This problem is motivated by harmonic analysis problems, and we give some applications to the theory of Beurling-Fourier algebras.
Duality and Lorentz-Marcinkiewicz operator spaces.
Finite rank approximation and semidiscreteness for linear operators
Given a completely bounded map from an operator space into a von Neumann algebra (or merely a unital dual algebra) , we define to be -semidiscrete if for any operator algebra , the tensor operator is bounded from into , with norm less than . We investigate this property and characterize it by suitable approximation properties, thus generalizing the Choi-Effros characterization of semidiscrete von Neumann algebras. Our work is an extension of some recent work of Pisier on an analogous...
Generalized couplings
Generation of B(X) two commutative subalgebras - results and open problems
Gleason measures and some inner products on the algebra of bounded operators on a Hilbert space
Hereditarily strictly cyclic operator algebras
Hilbert space representations of the graded analogue of the Lie algebra of the group of plane motions
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.
Holomorphic automorphism groups in certain compact operator spaces
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.
Homology for operator algebras. III: Partial isometry homotopy and triangular algebras.
Hyperinvariant subspace lattice of isometries
Hyperreflexive operators on finite dimensional Hilbert spaces
In this paper a complete characterization of hyperreflexive operators on finite dimensional Hilbert spaces is given.