Finite morphisms between differentiable algebras.
Finite points of filters in infinite dimensional vector 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...
Finite rank elements in semisimple Banach algebras
Let A be a semisimple Banach algebra. We define the rank of a nonzero element a in the socle of A to be the minimum of the number of minimal left ideals whose sum contains a. Several characterizations of rank are proved.
Finite representability of the Yang operator.
Finite spectra and quasinilpotent equivalence in Banach algebras
This paper further investigates the implications of quasinilpotent equivalence for (pairs of) elements belonging to the socle of a semisimple Banach algebra. Specifically, not only does quasinilpotent equivalence of two socle elements imply spectral equality, but also the trace, determinant and spectral multiplicities of the elements must agree. It is hence shown that quasinilpotent equivalence is established by a weaker formula (than that of the spectral semidistance). More generally, in the second...
Finite sums and products of commutators in inductive limit -algebras
Results of T. Fack, P. de la Harpe and G. Skandalis concerning the internal structure of simple -algebras are extended to -algebras that are inductive limits of finite direct sums of homogeneous -algebras. The generalizations are obtained with slightly varying assumptions on the building blocks, but all results are applicable to unital simple inductive limits of finite direct sums of circle algebras.
Finite sums of commutators in -algebras
We prove that for many -algebras, the null space of all finite traces is spanned by finite sums of commutators.
Finite symmetric trilinear integral transform of distributions. II.
Finite-codimensional subspaces of locally convex spaces
Finite-dimensional Banach spaces with numerical index zero.
Finite-dimensional Banach spaces with symmetry constant of order √n
Finite-dimensional decompositions of Banach spaces with (p,q)-estimates [Book]
Finite-dimensional Hilbert -modules.
Finite-dimensional ideals in Banach algebras
Finite-dimensional irreducible representations of C*-algebras associated with topological dynamical systems.
Finite-dimensional Lie subalgebras of algebras with continuous inversion
We investigate the finite-dimensional Lie groups whose points are separated by the continuous homomorphisms into groups of invertible elements of locally convex algebras with continuous inversion that satisfy an appropriate completeness condition. We find that these are precisely the linear Lie groups, that is, the Lie groups which can be faithfully represented as matrix groups. Our method relies on proving that certain finite-dimensional Lie subalgebras of algebras with continuous inversion commute...
Finite-dimensional Schauder decompositions in certain Frechet spaces
Finite-dimensional subspaces of uniformly convex and uniformly smooth Banach lattices and trace classes
Finitely Generated Ideals in Rings of Analytic Functions.