The laplacian and the Dirac operator in infinitely many variables
The Lions's problem for Gustavsson-Peetre functor.
The problem of coincidence of the interpolation spaces obtained by use of the interpolation method of Gustavsson-Peetre generated by (parameters) quasi-concave functions is investigated. It is shown that a restriction of this method to the class of all non-trivial Banach couples gives different interpolation spaces whenever two different parameters satisfying some conditions are used.
The Mackey completions of some interpolation F-spaces
The Mayer-Vietoris and the Puppe sequences in K-theory for C*-algebras
The -field-irreducible part of a -point functional
The n-ball properties in real and complex Banach spaces.
The Poulsen simplex is not a tensor product.
The projective limit functor for spectra of webbed spaces
We study Palamodov's derived projective limit functor Proj¹ for projective spectra consisting of webbed locally convex spaces introduced by Wilde. This class contains almost all locally convex spaces appearing in analysis. We provide a natural characterization for the vanishing of Proj¹ which generalizes and unifies results of Palamodov and Retakh for spectra of Fréchet and (LB)-spaces. We thus obtain a general tool for solving surjectivity problems in analysis.
The projective tensor product of Fréchet-Montel spaces
The range of a contractive projection in Lp(H).
We show that the range of a contractive projection on a Lebesgue-Bochner space of Hilbert valued functions Lp(H) is isometric to a lp-direct sum of Hilbert-valued Lp-spaces. We explicit the structure of contractive projections. As a consequence for every 1 < p < ∞ the class Cp of lp-direct sums of Hilbert-valued Lp-spaces is axiomatizable (in the class of all Banach spaces).
The Schur multiplication in tensor algebras
The semigroup of Fredholm operators.
The signature package on Witt spaces
In this paper we prove a variety of results about the signature operator on Witt spaces. First, we give a parametrix construction for the signature operator on any compact, oriented, stratified pseudomanifold which satisfies the Witt condition. This construction, which is inductive over the ‘depth’ of the singularity, is then used to show that the signature operator is essentially self-adjoint and has discrete spectrum of finite multiplicity, so that its index—the analytic signature of —is well-defined....
The simultaneous existence of linear functionals
The space of all bounded operators on Hilbert space does not have the approximation property
The space Weak H¹
The spatial flatness and injectiveness of Connes operator algebras.
The Stability of the Euler Characteristic for Hilbert Complexes.
The stable range of C*-algebras.
The structure of a subclass of amenable Banach algebras.