On an extension of finite functionals by the transfinite induction
On an extension of norms from a subspace to the whole Banach space keeping their rotundity
Let ℛ denote some kind of rotundity, e.g., the uniform rotundity. Let X admit an ℛ-norm and let Y be a reflexive subspace of X with some ℛ-norm ∥·∥. Then we are able to extend ∥·∥ from Y to an ℛ-norm on X.
On an inequality of Sagher and Zhou concerning Stein's lemma.
On an infinite sequence of invariant measures for the cubic nonlinear Schrödinger equation.
On an infinite-dimensional version of the Kreiss matrix theorem
On an integral-type operator from Privalov spaces to Bloch-type spaces
Let H(B) denote the space of all holomorphic functions on the unit ball B of ℂⁿ. Let φ be a holomorphic self-map of B and g ∈ H(B) such that g(0) = 0. We study the integral-type operator , f ∈ H(B). The boundedness and compactness of from Privalov spaces to Bloch-type spaces and little Bloch-type spaces are studied
On an Invariant Borel Measure in Hilbert Space
An example of a nonzero σ-finite Borel measure μ with everywhere dense linear manifold of admissible (in the sense of invariance) translation vectors is constructed in the Hilbert space ℓ₂ such that μ and any shift of μ by a vector are neither equivalent nor orthogonal. This extends a result established in [7].
On an optimal decomposition in Zygmund spaces.
On an optimization problem arising from probability density estimation.
Consideramos una clase de problemas de optimización que surgen en estimaciones de la densidad de datos en dimensión elevada a partir de proyecciones en subespacios de dimensión más baja. Los criterios que se usan para la selección óptima del modelo son máxima entropía y máxima verosimilitud. En cada caso nuestro planteamiento requiere estimadores de la densidad univariados y a este respecto exploramos el uso de modelos mezcla de densidades gaussianas y de estimadores de Parzen para los datos proyectados....
On an orthonormal polynomial basis in the space C[-1,1]
We show that in the space C[-1,1] there exists an orthogonal algebraic polynomial basis with optimal growth of degrees of the polynomials.
On an -Birkhoff orthogonality.
On analytic torsion over C*-algebras
In this paper, we present an analytic definition for the relative torsion for flat C*-algebra bundles over a compact manifold. The advantage of such a relative torsion is that it is defined without any hypotheses on the flat C*-algebra bundle. In the case where the flat C*-algebra bundle is of determinant class, we relate it easily to the L^2 torsion as defined in [7],[5].
On anisotropic Besov and Bessel potential spaces
On anisotropic imbeddings
On applicability of the projection method to two-dimensional Toeplitz operators with measurable symbol.
On approximate differentiability of functions with bounded deformation.
On approximately finite-dimensional von Neumann algebras.
On Approximation in Weighted Sobolev Spaces and Self-Adjointness.
On approximation of compact multivalued maps in topological vector spaces.
On areas and integral geometry in Minkowski spaces.