Tensor Products and Banach Ideals of p-Compact Operators.
Tensor products and elementary operators.
The Feynman integral and Feynman's operational calculus: a heuristic and mathematical introduction
The ideal property of tensor products of Banach lattices with applications to the local structure of spaces of absolutely summing operators
The Injective Hull of an Operator Ideal on Locally Convex Spaces.
The space of multipliers and convolutors of Orlicz spaces on a locally compact group
Let G be a locally compact group, let (φ,ψ) be a complementary pair of Young functions, and let and be the corresponding Orlicz spaces. Under some conditions on φ, we will show that for a Banach -submodule X of , the multiplier space is a dual Banach space with predual , where the closure is taken in the dual space of . We also prove that if is a Δ₂-regular N-function, then , the space of convolutors of , is identified with the dual of a Banach algebra of functions on G under pointwise...
The spectrally bounded linear maps on operator algebras
We show that every spectrally bounded linear map Φ from a Banach algebra onto a standard operator algebra acting on a complex Banach space is square-zero preserving. This result is used to show that if Φ₂ is spectrally bounded, then Φ is a homomorphism multiplied by a nonzero complex number. As another application to the Hilbert space case, a classification theorem is obtained which states that every spectrally bounded linear bijection Φ from ℬ(H) onto ℬ(K), where H and K are infinite-dimensional...
The Uniformly Closed Algebra Generated by a Complete Boolean Algebra of Projections.
Topologies and Bornologies Determined by Operator Ideals.
Triangularization of some families of operators on locally convex spaces
Some results concerning triangularization of some operators on locally convex spaces are established.
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...
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.
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.
Uniquely Generated Grothendieck Space Ideals.
W*-algebras on Banach spaces