Individual factorization in Banach modules
Induced bornological representations of bornological algebras
Inductive limits and tensor products of ordered topological vector spaces and algebras
Inequalities for exponentials in Banach algebras
For commuting elements x, y of a unital Banach algebra ℬ it is clear that . On the order hand, M. Taylor has shown that this inequality remains valid for a self-adjoint operator x and a skew-adjoint operator y, without the assumption that they commute. In this paper we obtain similar inequalities under conditions that lie between these extremes. The inequalities are used to deduce growth estimates of the form for all , where and c, s are constants.
Infinite -tensor product algebras.
Injective semigroup-algebras
Semigroups S for which the Banach algebra is injective are investigated and an application to the work of O. Yu. Aristov is described.
Inner amenability of Lau algebras
A concept of amenability for an arbitrary Lau algebra called inner amenability is introduced and studied. The inner amenability of a discrete semigroup is characterized by the inner amenability of its convolution semigroup algebra. Also, inner amenable Lau algebras are characterized by several equivalent statements which are similar analogues of properties characterizing left amenable Lau algebras.
Inner M-ideals in Banach algebras.
Integral operators on the section space of a Banach bundle.
Integral representations of the -Drazin inverse in -algebras
The paper gives new integral representations of the -Drazin inverse of an element of a -algebra that require no restriction on the spectrum of . The representations involve powers of and of its adjoint.
Internal functionals and bundle duals.
Interpolation et idéaux de fonctions analytiques bornées
Intertwining operators over L1 (G) for G ? [PG] ? [SIN].
Invariant subspaces on multiply connected domains.
The lattice of invariant subspaces of several Banach spaces of analytic functions on the unit disk, for example the Bergman spaces and the Dirichlet spaces, have been studied recently. A natural question is to what extent these investigations carry over to analogously defined spaces on an annulus. We consider this question in the context of general Banach spaces of analytic functions on finitely connected domains Ω. The main result reads as follows: Assume that B is a Banach space of analytic functions...
Inversion in some algebras of singular integral operators.
Inversion von Fredholmfunktionen bei stetiger und holomorpher Abhängigkeit von Parametern.
Invertibility in tensor products of Q-algebras
We consider, using various tensor norms, the completed tensor product of two unital lmc algebras one of which is commutative. Our main result shows that when the tensor product of two Q-algebras is an lmc algebra, then it is a Q-algebra if and only if pointwise invertibility implies invertibility (as in the Gelfand theory). This is always the case for Fréchet algebras.
Invertibility preserving linear mappings into M₂(ℂ)
We study discontinuous invertibility preserving linear mappings from a Banach algebra into the algebra of n × n matrices and give an explicit representation of such a mapping when n = 2.
Irreducible C (X)-modules are one dimensional: a bundle-theoretical proof
Isometries and automorphisms of the spaces of spinors.
The relationships between the JB*-triple structure of a complex spin factor S and the structure of the Hilbert space H associated to S are discussed. Every surjective linear isometry L of S can be uniquely represented in the form L(x) = mu.U(x) for some conjugation commuting unitary operator U on H and some mu belonging to C, |mu|=1. Automorphisms of S are characterized as those linear maps (continuity not assumed) that preserve minimal tripotents in S and the orthogonality relations among them.