Tangent segments in Minkowski planes.
The approximation of continuous linear functionals.
The Bilinear Field of Values.
The determination of the spectral multiplicity of a stochastic process by RKHS method
The distance from a point to a cone in a Hilbert space.
The Distortion of Hilbert Space.
The domain of attraction of a non-Gaussian stable distribution in a Hilbert space
The domain of attraction of a normal distribution in a Hilbert space
The First Mean Value Theorem for Integrals
In this article, we prove the first mean value theorem for integrals [16]. The formalization of various theorems about the properties of the Lebesgue integral is also presented.MML identifier: MESFUNC7, version: 7.8.09 4.97.1001
The general form of local bilinear functions
The scalar product of the FEM basis functions with non-intersecting supports vanishes. This property is generalized and the concept of local bilinear functional in a Hilbert space is introduced. The general form of such functionals in the spaces and is given.
The Hahn-Banach Theorem surveyed [Book]
The hypo-Euclidean norm of an -tuple of vectors in inner product spaces and applications.
The inclusion theorem for multiple summing operators
We prove that, for 1 ≤ p ≤ q < 2, each multiple p-summing multilinear operator between Banach spaces is also q-summing. We also give an improvement of this result for an image space of cotype 2. As a consequence, we obtain a characterization of Hilbert-Schmidt multilinear operators similar to the linear one given by A. Pełczyński in 1967. We also give a multilinear generalization of Grothendieck's Theorem for GT spaces.
The laplacian and the Dirac operator in infinitely many variables
The Lebesgue Monotone Convergence Theorem
In this article we prove the Monotone Convergence Theorem [16].MML identifier: MESFUNC9, version: 7.8.10 4.100.1011
The Lévy laplacian and differential operators of 2-nd order in Hilbert spaces
We shall show that every differential operator of 2-nd order in a real separable Hilbert space can be decomposed into a regular and an irregular operator. Then we shall characterize irregular operators and differential operators satisfying the maximum principle. Results obtained for the Lévy laplacian in [3] will be generalized for irregular differential operators satisfying the maximum principle.
The mapping in normed linear spaces with applications to inequalities in analysis.
The Minkowski plane and the geometry of Banach spaces.
The Minlos lemma for positive-definite functions on additive subgroups of
Let H be a real Hilbert space. It is well known that a positive-definite function φ on H is the Fourier transform of a Radon measure on the dual space if (and only if) φ is continuous in the Sazonov topology (resp. the Gross topology) on H. Let G be an additive subgroup of H and let (resp. ) be the character group endowed with the topology of uniform convergence on precompact (resp. bounded) subsets of G. It is proved that if a positive-definite function φ on G is continuous in the Gross topology,...
The multiplication functions of Kučera