is generated in strong operator topology by two of its elements
Bade's theorem on the uniformly closed algebra generated by a Boolean algebra
Ball remotal subspaces of Banach spaces
We study Banach spaces X with subspaces Y whose unit ball is densely remotal in X. We show that for several classes of Banach spaces, the unit ball of the space of compact operators is densely remotal in the space of bounded operators. We also show that for several classical Banach spaces, the unit ball is densely remotal in the duals of higher even order. We show that for a separable remotal set E ⊆ X, the set of Bochner integrable functions with values in E is a remotal set in L¹(μ,X).
Banach Algebra of Bounded Complex-Valued Functionals
In this article, we describe some basic properties of the Banach algebra which is constructed from all bounded complex-valued functionals.
Banach ideals of p-compact operators.
Banach ideals on Hilbert spaces
Banach manifolds of algebraic elements in the algebra (H) of bounded linear operatorsof bounded linear operators
Given a complex Hilbert space H, we study the manifold of algebraic elements in . We represent as a disjoint union of closed connected subsets M of Z each of which is an orbit under the action of G, the group of all C*-algebra automorphisms of Z. Those orbits M consisting of hermitian algebraic elements with a fixed finite rank r, (0< r<∞) are real-analytic direct submanifolds of Z. Using the C*-algebra structure of Z, a Banach-manifold structure and a G-invariant torsionfree affine...
Banach spaces of compact operators
Banach spaces with small Calkin algebras
Let X be a Banach space. Let 𝓐(X) be a closed ideal in the algebra ℒ(X) of the operators acting on X. We say that ℒ(X)/𝓐(X) is a Calkin algebra whenever the Fredholm operators on X coincide with the operators whose class in ℒ(X)/𝓐(X) is invertible. Among other examples, we have the cases in which 𝓐(X) is the ideal of compact, strictly singular, strictly cosingular and inessential operators, and some other ideals introduced as perturbation classes in Fredholm theory. Our aim is to present some...
Banach triples with generalized inverses.
Banach-Lie algebras of compact operators
Bemerkungen zum Dichtigkeitssatz von Kaplansky.
Beschränkte Operatoren: Bemerkungen zu einer Arbeit von P. Uss
Besov spaces and 2-summing operators
Let Π₂ be the operator ideal of all absolutely 2-summing operators and let be the identity map of the m-dimensional linear space. We first establish upper estimates for some mixing norms of . Employing these estimates, we study the embedding operators between Besov function spaces as mixing operators. The result obtained is applied to give sufficient conditions under which certain kinds of integral operators, acting on a Besov function space, belong to Π₂; in this context, we also consider the...
Best approximation in C*-algebras.
Biduals of tensor products in operator spaces
We study whether the operator space can be identified with a subspace of the bidual space , for a given operator space tensor norm. We prove that this can be done if α is finitely generated and V and W are locally reflexive. If in addition the dual spaces are locally reflexive and the bidual spaces have the completely bounded approximation property, then the identification is through a complete isomorphism. When α is the projective, Haagerup or injective norm, the hypotheses can be weakened.
Bijectivity of *-Endomorphisms of ...(H) and the Unilateral Shift.
Bilinear mappings and operator ideals
Bilinear Mappings and Trace Class Ideals.
Bilineare Funktionen mit Hilbertraum-Operatoren als Veränderlichen.