Best possible bounds of the norms of inverses adjoined to normed algebras
Best possible sufficient conditions for strong law of large numbers for multi-indexed orthogonal random elements.
Best simultaneous approximation in Orlicz spaces.
Between Paouris concentration inequality and variance conjecture
We prove an almost isometric reverse Hölder inequality for the euclidean norm on an isotropic generalized Orlicz ball which interpolates Paouris concentration inequality and variance conjecture. We study in this direction the case of isotropic convex bodies with an unconditional basis and the case of general convex bodies.
Between the Paley-Wiener theorem and the Bochner tube theorem
We present the classical Paley-Wiener-Schwartz theorem [1] on the Laplace transform of a compactly supported distribution in a new framework which arises naturally in the study of the Mellin transformation. In particular, sufficient conditions for a function to be the Mellin (Laplace) transform of a compactly supported distribution are given in the form resembling the Bochner tube theorem [2].
Beurling algebra analogues of theorems of Wiener-Lévy-Żelazko and Żelazko
Let 0 < p ≤ 1, let ω: ℤ → [1,∞) be a weight on ℤ and let f be a nowhere vanishing continuous function on the unit circle Γ whose Fourier series satisfies . Then there exists a weight ν on ℤ such that . Further, ν is non-constant if and only if ω is non-constant; and ν = ω if ω is non-quasianalytic. This includes the classical Wiener theorem (p = 1, ω = 1), Domar theorem (p = 1, ω is non-quasianalytic), Żelazko theorem (ω = 1) and a recent result of Bhatt and Dedania (p = 1). An analogue of...
Beurling algebras and uniform norms
Given a locally compact abelian group G with a measurable weight ω, it is shown that the Beurling algebra L¹(G,ω) admits either exactly one uniform norm or infinitely many uniform norms, and that L¹(G,ω) admits exactly one uniform norm iff it admits a minimum uniform norm.
Beurling algebras on locally compact groups, tensor products, and multipliers
Beurling-Figà-Talamanca-Herz algebras
For a locally compact group G and p ∈ (1,∞), we define and study the Beurling-Figà-Talamanca-Herz algebras . For p = 2 and abelian G, these are precisely the Beurling algebras on the dual group Ĝ. For p = 2 and compact G, our approach subsumes an earlier one by H. H. Lee and E. Samei. The key to our approach is not to define Beurling algebras through weights, i.e., possibly unbounded continuous functions, but rather through their inverses, which are bounded continuous functions. We prove that...
Beurling-Gevrey tempered ultradistributions as boundary values
Beurling-Landau-Type Theorems for Non-Uniform Sampling in Shift Invariant Spline Spaces.
Beweise einiger Ergebnisse aus der Theorie der 2. Variation mehrfacher Extremalintegrale.
Bewertete Vektorräume.
Beziehungen zwischen Tychonoff-Räumen und ihren Funktionenringen.
Bi- convex sets.
Bibounded operators on W*-algebras.
Bicontractive projections in sequence spaces and a few related kinds of maps
Bicrossproduct Kac Algebras, Bicrossproduct Groups and von Neumann Algebras of Takesaki's Type.
Bidual Spaces and Reflexivity of Real Normed Spaces
In this article, we considered bidual spaces and reflexivity of real normed spaces. At first we proved some corollaries applying Hahn-Banach theorem and showed related theorems. In the second section, we proved the norm of dual spaces and defined the natural mapping, from real normed spaces to bidual spaces. We also proved some properties of this mapping. Next, we defined real normed space of R, real number spaces as real normed spaces and proved related theorems. We can regard linear functionals...
Biduality in (LF)-spaces.
En la Sección 1 se pueban resultados abstractos sobre preduales y sobre bidualidad de espacios (LF). Sea E = indn En un espacio (LF), ponemos H = indn Hn para una sucesión de subespacios de Fréchet Hn de En con Hn ⊂ Hn+1. Investigamos bajo qué condiciones el espacio E es canónicamente (topológicamente isomorfo a) el bidual inductivo (H'b)'i o (incluso) al bidual fuerte de H. Los resultados abstractos se aplican en la Sección 2, especialmente a espacios (LF) ponderados de funciones holomorfas, pero...