On Norm-Continuity and Compactness of Spectrum.
On Normed Almost Linear Spaces.
On norms and subsets of linear spaces
On nuclear maps between spaces of ultradiferentiables jets of Roumieu type.
Si K es un compacto no vacío en Rr, damos una condición suficiente para que la inyección canónica de ε{M},b(K) en ε{M},d(K) sea nuclear. Consideramos el caso mixto y obtenemos la existencia de un operador de extensión nuclear de ε{M1}(F)A en ε{M2}(Rr)D donde F es un subconjunto cerrado propio de Rr y A y D son discos de Banach adecuados. Finalmente aplicamos este último resultado al caso Borel, es decir cuando F = {0}.
On one class of matrix differential operators.
On one generalization of the weakly compactly generated B-spaces
On one generalization of weakly compactly generated Banach spaces
On one inequality in weighted spaces connected with the problem of existence of traces on hyperplanes
On onesided harmonic analysis in non commutative locally compact groups.
On operator ideals related to (p,σ)-absolutely continuous operators
We study tensor norms and operator ideals related to the ideal , 1 < p < ∞, 0 < σ < 1, of (p,σ)-absolutely continuous operators of Matter. If α is the tensor norm associated with (in the sense of Defant and Floret), we characterize the -nuclear and - integral operators by factorizations by means of the composition of the inclusion map with a diagonal operator , where r is the conjugate exponent of p’/(1-σ). As an application we study the reflexivity of the components of the ideal...
On operators factorizable through space
On operators fixing copies of and
On operators from separable reflexive spaces with asymptotic structure
Let 1 < q < p < ∞ and q ≤ r ≤ p. Let X be a reflexive Banach space satisfying a lower--tree estimate and let T be a bounded linear operator from X which satisfies an upper--tree estimate. Then T factors through a subspace of , where (Fₙ) is a sequence of finite-dimensional spaces. In particular, T factors through a subspace of a reflexive space with an FDD. Similarly, let 1 < q < r < p < ∞ and let X be a separable reflexive Banach space satisfying an asymptotic lower--tree...
On Operators in Bochner Spaces
On operators on
On operators that preserve the Radon-Nikodým property.
On operators which factor through or c₀
Let 1 < p < ∞. Let X be a subspace of a space Z with a shrinking F.D.D. (Eₙ) which satisfies a block lower-p estimate. Then any bounded linear operator T from X which satisfies an upper-(C,p)-tree estimate factors through a subspace of , where (Fₙ) is a blocking of (Eₙ). In particular, we prove that an operator from (2 < p < ∞) satisfies an upper-(C,p)-tree estimate if and only if it factors through . This gives an answer to a question of W. B. Johnson. We also prove that if X is...
On Optimum Regularity of Navier-Stokes Solutions at Time t = 0.
On orbits for pairs of operators on an infinite-dimensional complex Hilbert space
On Order and Topological Completeness.