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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.

Erik Christensen (1977)

Mathematische Annalen

Diagonality in C*-Algebras.

G.J. Murphy (1988)

Mathematische Zeitschrift

Dilations to systems of matrix units

M. Choi, Chandler Davis (1982)

Banach Center Publications

Dimensions of components of tensor products of representations of linear groups with applications to Beurling-Fourier algebras

Benoît Collins, Hun Hee Lee, Piotr Śniady (2014)

Studia Mathematica

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.

Fernando Cobos (1988)

Mathematica Scandinavica

Finite rank approximation and semidiscreteness for linear operators

Christian Le Merdy (1999)

Annales de l'institut Fourier

Given a completely bounded map $u : Z \to M$ from an operator space $Z$ into a von Neumann algebra (or merely a unital dual algebra) $M$ , we define $u$ to be $C$ -semidiscrete if for any operator algebra $A$ , the tensor operator $I_{A} \otimes u$ is bounded from $A \otimes_{\min} Z$ into $A \otimes_{nor} M$ , with norm less than $C$ . 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

Vlastimil Pták (1995)

Czechoslovak Mathematical Journal

Generation of B(X) two commutative subalgebras - results and open problems

W. Żelazko (1994)

Banach Center Publications

Gleason measures and some inner products on the algebra of bounded operators on a Hilbert space

Ryszard Jajte, Richard Loebl (1981)

Studia Mathematica

Hereditarily strictly cyclic operator algebras

Subhash Chander Arora, Pawan Bala (1991)

Czechoslovak Mathematical Journal

Hilbert space representations of the graded analogue of the Lie algebra of the group of plane motions

Sergei Silvestrov (1996)

Studia Mathematica

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

Carlo Petronio (1990)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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.

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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.

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

Duality and Lorentz-Marcinkiewicz operator spaces.

Finite rank approximation and semidiscreteness for linear operators

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

Holomorphic automorphism groups in certain compact operator spaces

Homology for operator algebras. III: Partial isometry homotopy and triangular algebras.

Hyperinvariant subspace lattice of isometries

Hyperreflexive operators on finite dimensional Hilbert spaces

Currently displaying 21 – 40 of 111