Random trilinear forms and the Schur multiplication of tensors.
Rankin–Cohen brackets and representations of conformal Lie groups
This is an extended version of a lecture given by the author at the summer school “Quasimodular forms and applications” held in Besse in June 2010.The main purpose of this work is to present Rankin-Cohen brackets through the theory of unitary representations of conformal Lie groups and explain recent results on their analogues for Lie groups of higher rank. Various identities verified by such covariant bi-differential operators will be explained by the associativity of a non-commutative product...
Real Interpolation between Row and Column Spaces
We give an equivalent expression for the K-functional associated to the pair of operator spaces (R,C) formed by the rows and columns respectively. This yields a description of the real interpolation spaces for the pair (Mₙ(R),Mₙ(C)) (uniformly over n). More generally, the same result is valid when Mₙ (or B(ℓ₂)) is replaced by any semi-finite von Neumann algebra. We prove a version of the non-commutative Khintchine inequalities (originally due to Lust-Piquard) that is valid for the Lorentz spaces...
Reelle Jordanalgebren mit endlicher Spur.
Reflexivity of bilattices
We study reflexivity of bilattices. Some examples of reflexive and non-reflexive bilattices are given. With a given subspace lattice we may associate a bilattice . Similarly, having a bilattice we may construct a subspace lattice . Connections between reflexivity of subspace lattices and associated bilattices are investigated. It is also shown that the direct sum of any two bilattices is never reflexive.
Reflexivity of convex subsets of L(H) and subspaces of .
Reflexivity of isometries
We prove that any set of commuting isometries on a separable Hilbert space is reflexive.
Reflexivity of Toeplitz operators in multiply connected regions
Subspaces of Toeplitz operators on the Hardy spaces over a multiply connected region in the complex plane are investigated. A universal covering map of such a region and the group of automorphisms invariant with respect to the covering map connect the Hardy space on this multiply connected region with a certain subspace of the classical Hardy space on the disc. We also present some connections of Toeplitz operators on both spaces from the reflexivity point of view.
Regular operators on partial inner product spaces
Regularisierung von Fredholmfunktionen.
Relative Inversion in der Störungstheorie von Operatoren und ...-Algebren.
Remarks on embeddable semigroups in groups and a generalization of some Cuthbert's results.
Remarks on tensor products and their applications in quantum theory I. General considerations
Remarks on tensor proucts and their applications in quantum theory - II. Spectral properties
Remarques sur les propriété de dualité et d'interpolation des idéaux de R. Schatten
Renormage de certains espaces d'operateurs.
Representation and duality of multiplication operators on archimedean Riesz spaces
Representation of linear functional by a trace on algebras of unbounded operators defined on dualmetrizable domains
Representations of H...(G) and invariant subspaces.
Representations of higher rank graph algebras.