Pełnotekstowe zasoby PLDML oraz innych baz dziedzinowych są już dostępne w nowej Bibliotece Nauki.
Zapraszamy na https://bibliotekanauki.pl
Preferencje help
Polish version English version Język
Widoczny [Schowaj] Abstrakt
Liczba wyników

Znaleziono wyników: 3

Liczba wyników na stronie
first rewind previous Strona / 1 next fast forward last

Wyniki wyszukiwania

help Sortuj według:

help Ogranicz wyniki do:
first rewind previous Strona / 1 next fast forward last
1
Content available remote

Khinchin inequality and Banach-Saks type properties in rearrangement-invariant spaces

100%
Sukochev F., Zanin D.
Studia Mathematica
|
2009
|
tom 191
|
nr 2
101-122
EN
We study the class of all rearrangement-invariant ( = r.i.) function spaces E on [0,1] such that there exists 0 < q < 1 for which $∥∑_{k=1}^{n}ξ_{k}∥_{E} ≤ Cn^{q}$, where ${ξ_{k}}_{k≥1} ⊂ E$ is an arbitrary sequence of independent identically distributed symmetric random variables on [0,1] and C > 0 does not depend on n. We completely characterize all Lorentz spaces having this property and complement classical results of Rodin and Semenov for Orlicz spaces $exp(L_{p})$, p ≥ 1. We further apply our results to the study of Banach-Saks index sets in r.i. spaces.
2
Content available remote

Orbits in symmetric spaces, II

81%
Kalton N., Sukochev F., Zanin D.
Studia Mathematica
|
2010
|
tom 197
|
nr 3
257-274
EN
Suppose E is fully symmetric Banach function space on (0,1) or (0,∞) or a fully symmetric Banach sequence space. We give necessary and sufficient conditions on f ∈ E so that its orbit Ω(f) is the closed convex hull of its extreme points. We also give an application to symmetrically normed ideals of compact operators on a Hilbert space.
3
Content available remote

On uniqueness of distribution of a random variable whose independent copies span a subspace in $L_{p}$

81%
Astashkin S., Sukochev F., Zanin D.
Studia Mathematica
|
2015
|
tom 230
|
nr 1
41-57
EN
Let 1 ≤ p < 2 and let $L_{p}= L_{p}[0,1]$ be the classical $L_{p}$-space of all (classes of) p-integrable functions on [0,1]. It is known that a sequence of independent copies of a mean zero random variable $f ∈ L_{p}$ spans in $L_{p}$ a subspace isomorphic to some Orlicz sequence space $l_{M}$. We give precise connections between M and f and establish conditions under which the distribution of a random variable $f ∈ L_{p}$ whose independent copies span $l_{M}$ in $L_{p}$ is essentially unique.
first rewind previous Strona / 1 next fast forward last
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.