Displaying similar documents to “Orbits in symmetric spaces, II”

Symmetric Banach *-algebras: invariance of spectrum

Bruce Barnes (2000)

Studia Mathematica

Similarity:

Let A be a Banach *-algebra which is a subalgebra of a Banach algebra B. In this paper, assuming that A is symmetric, various conditions are given which imply that A is inverse closed in B.

Banach-Saks properties in symmetric spaces of measurable operators

P. G. Dodds, T. K. Dodds, F. A. Sukochev (2007)

Studia Mathematica

Similarity:

We study Banach-Saks properties in symmetric spaces of measurable operators. A principal result shows that if the symmetric Banach function space E on the positive semiaxis with the Fatou property has the Banach-Saks property then so also does the non-commutative space E(ℳ,τ) of τ-measurable operators affiliated with a given semifinite von Neumann algebra (ℳ,τ).

Local properties of accessible injective operator ideals

F. Oertel (1998)

Czechoslovak Mathematical Journal

Similarity:

In addition to Pisier’s counterexample of a non-accessible maximal Banach ideal, we will give a large class of maximal Banach ideals which are accessible. The first step is implied by the observation that a “good behaviour” of trace duality, which is canonically induced by conjugate operator ideals can be extended to adjoint Banach ideals, if and only if these adjoint ideals satisfy an accessibility condition (theorem 3.1). This observation leads in a natural way to a characterization...