Traces on the cone algebra with asymptotics
Triangularization of some families of operators on locally convex spaces
Some results concerning triangularization of some operators on locally convex spaces are established.
Trivialization of -algebras with strongly self-absorbing fibres
Suppose is a separable unital -algebra each fibre of which is isomorphic to the same strongly self-absorbing and -injective -algebra . We show that and are isomorphic as -algebras provided the compact Hausdorff space is finite-dimensional. This statement is known not to extend to the infinite-dimensional case.
Two Families of Self-adjoint Indecomposable Operators in an Orthomodular Space
Orthomodular spaces are the counterpart of Hilbert spaces for fields other than or . Both share numerous properties, foremost among them is the validity of the Projection theorem. Nevertheless in the study of bounded linear operators which started in [3], there appeared striking differences with the classical theory. In fact, in this paper we shall construct, on the canonical non-archimedean orthomodular space of [5], two infinite families of self-adjoint bounded linear operators having no...
Type and cotype numbers of operators on Banach spaces
Type and cotype of operator spaces
We consider two operator space versions of type and cotype, namely -type, -cotype and type (p,H), cotype (q,H) for a homogeneous Hilbertian operator space H and 1 ≤ p ≤ 2 ≤ q ≤ ∞, generalizing “OH-cotype 2” of G. Pisier. We compute type and cotype of some Hilbertian operator spaces and spaces, and we investigate the relationship between a homogeneous Hilbertian space H and operator spaces with cotype (2,H). As applications we consider operator space versions of generalized little Grothendieck’s...
Über Algebren stetiger Operatorfunktionen
Über Boolesche Algebren von Projektionen.
Über die Cunningham-oo-Algebra und den Zentralisator reeller Banachräume.
Über eine Algebra ,,nicht normaler" Wiener-Hopf-Operatoren. I.
Über eine Algebra ,,nicht normaler'4 Wiener-Hopf-Operatoren. II.
Über Klassen schwach kompakter Operatoren in Banachverbänden.
U-ideals of factorable operators
We suggest a method of renorming of spaces of operators which are suitably approximable by sequences of operators from a given class. Further we generalize J. Johnsons’s construction of ideals of compact operators in the space of bounded operators and observe e.g. that under our renormings compact operators are -ideals in the: space of 2-absolutely summing operators or in the space of operators factorable through a Hilbert space.
Un théorème sur les opérateurs linéaires entre espaces de Banach qui se factorisent par un espace de Hilbert
Una caracterización del dual del ideal de los operadores absolutamente sumantes en espacios de Banach.
Unbounded -seminorms, biweights, and -representations of partial -algebras: A review.
Unbounded conditional expectations for partial -algebras.
Unbounded *-representations of tensor product locally convex *-algebras induced by unbounded C*-seminorms
The existence of unbounded *-representations of (locally convex) tensor product *-algebras is investigated, in terms of the existence of unbounded *-representations of the (locally convex) factors of the tensor product and vice versa.
Unconditional ideals of finite rank operators
Let be a Banach space. We give characterizations of when is a -ideal in for every Banach space in terms of nets of finite rank operators approximating weakly compact operators. Similar characterizations are given for the cases when is a -ideal in for every Banach space , when is a -ideal in for every Banach space , and when is a -ideal in for every Banach space .
Unconditionally converging operators in locally convex Hausdorff spaces