Add to ORKGLet X be a symmetric Banach function space on [0, 1] and let E be a sym-metric (quasi)-Banach sequence space. Let f = {fk}nk=1, n ≥ 1 be an arbi-trary sequence of independent random variables in X and let {ek}∞k=1 ⊂ E be the standard unit vector sequence in E. This paper presents a deter-ministic characterization of the quantity n∑ k=1 fkek
Our work is related to problems 73 and 74 of Mazur and Orlicz in "The Scottish Book" (ed. R. D. Maul...
Abstract. We investigate the norm of sums of independent vector-valued random variables in noncommut...
In this paper we will give a characterization of 1-absolutely summing operators using μ-approximate ...
We develop the notion of the \((X_1,X_2)\)-summing power-norm based on a~Banach space \(E\), where \...
sums of independent random variables (Lévy’s inequality, Ottaviani’s inequality, Jensen’s inequalit...
Abstract. Let X be a Banach space and let (ξj)j>1 be an i.i.d. sequence of symmetric random varia...
Abstract. We give a direct proof of the `upper ' Khintchine inequality for a noncommutative sym...
We study Banach envelopes for commutative symmetric sequence or function spaces, and noncommutative ...
© 2016 Elsevier Inc. This paper is devoted to the study of Φ-moments of sums of independent/freely i...
Abstract. The paper obtains the upper estimate for the probability that a norm of a sum of dependent...
In this paper we define a new opertaor ideal L_fi;E by using block sequence spaces and symmetric nor...
AbstractWe give a direct proof of the ‘upper’ Khintchine inequality for a noncommutative symmetric (...
Let fi, i = 1,..., n, be copies of a random variable f and let N be an Orlicz function. We show that...
Let $X_i$ be a sequence of independent symmetric real random variables with logarithmically concave ...
For a sequence of independent symmetric Banach space valued random variables {Xn,n[greater-or-equal,...
Our work is related to problems 73 and 74 of Mazur and Orlicz in "The Scottish Book" (ed. R. D. Maul...
Abstract. We investigate the norm of sums of independent vector-valued random variables in noncommut...
In this paper we will give a characterization of 1-absolutely summing operators using μ-approximate ...
We develop the notion of the \((X_1,X_2)\)-summing power-norm based on a~Banach space \(E\), where \...
sums of independent random variables (Lévy’s inequality, Ottaviani’s inequality, Jensen’s inequalit...
Abstract. Let X be a Banach space and let (ξj)j>1 be an i.i.d. sequence of symmetric random varia...
Abstract. We give a direct proof of the `upper ' Khintchine inequality for a noncommutative sym...
We study Banach envelopes for commutative symmetric sequence or function spaces, and noncommutative ...
© 2016 Elsevier Inc. This paper is devoted to the study of Φ-moments of sums of independent/freely i...
Abstract. The paper obtains the upper estimate for the probability that a norm of a sum of dependent...
In this paper we define a new opertaor ideal L_fi;E by using block sequence spaces and symmetric nor...
AbstractWe give a direct proof of the ‘upper’ Khintchine inequality for a noncommutative symmetric (...
Let fi, i = 1,..., n, be copies of a random variable f and let N be an Orlicz function. We show that...
Let $X_i$ be a sequence of independent symmetric real random variables with logarithmically concave ...
For a sequence of independent symmetric Banach space valued random variables {Xn,n[greater-or-equal,...
Our work is related to problems 73 and 74 of Mazur and Orlicz in "The Scottish Book" (ed. R. D. Maul...
Abstract. We investigate the norm of sums of independent vector-valued random variables in noncommut...
In this paper we will give a characterization of 1-absolutely summing operators using μ-approximate ...