Sergey V. Astashkin Page 1 The Rademacher System in Function Spaces Sergey V. Astashkin
Page 2 The Rademacher System in Function Spaces Page 3 Sergey V. Astashkin The …

The Rademacher system or the Bernoulli sequence of independent, identically and
symmetrically distributed random variables taking values±1 is a classical object of …

The main result is that there are infinitely many; in fact, a continuum; of closed (two-sided)
ideals in the Banach algebra L (L_1) L (L 1) of bounded linear operators on L_1 (0, 1) L 1 (0 …

В книге впервые дано систематическое изложение свойств системы Радемахера
прежде всего с точки зрения теории функций и функционального анализа. Структура …

The super strict singularity of inclusions between rearrangement invariant function spaces
on [0, 1] is studied. Estimates of the Bernstein widths 𝛾n of the inclusions L∞ are given. It is …

Let 1≤ p<∞. A Banach lattice E is said to be disjointly homogeneous (resp. p-disjointly
homogeneous) if two arbitrary normalized disjoint sequences from E contain equivalent in E …

Let an Orlicz function N be (1+ε)-convex and (2-ε)-concave at zero for some ε>0. Then the
function 1/N^-1(t), t∈(0,1, belongs to a separable symmetric space X with the Fatou …

Disjointly strictly singular inclusions between variable Lebesgue spaces $ L^{p (\cdot)}(\mu)
$ on finite measure are characterized. Suitable criteria in terms of the (bounded or …

Let $ E $ be a rearrangement invariant (ri) function space on $[0, 1] $, and let $ Z_E $
consist of all measurable functions $ f $ on $(0,\infty) $ such that $ f^*\chi_ {[0, 1]}\in E $ and …

Let X (μ) be ap-convex (1 ≤ p< ∞) order continuous Banach function space over a positive
finite measure μ. We characterize the subspaces of X (μ) which can be found simultaneously …