Browsing Mathematics publications (MU) by Subject "Banach spaces"
Now showing items 19 of 9

Bounds on the tail probability of ustatistics and quadratic forms
(201101)The authors announce a general tail estimate, called a decoupling inequality, for a symmetrized sum of nonlinear kcorrelations of n > k independent random variables. 
Comparison of OrliczLorentz spaces
(201101)OrliczLorentz spaces provide a common generalization of Orlicz spaces and Lorentz spaces. They have been studied by many authors, including Mastylo, Maligranda, and Kaminska. In this paper, we consider the problem of ... 
Contraction and decoupling inequalities for multilinear forms and ustatistics
(201101)We prove decoupling inequalities for random polynomials in independent random variables with coefficients in vector space. We use various means of comparison, including rearrangement invariant norms (e.g., Orlicz and Lorentz ... 
Decoupling inequalities for the tail probabilities of multivariate ustatistics
(201101)In this paper we present a decoupling inequality that shows that multivariate Ustatistics can be studied as sums of (conditionally) independent random variables. This result has important implications in several areas of ... 
The Distribution of NonCommutative Rademacher Series
(201102)We give a formula for the tail of the distribution of the noncommutative Rademacher series, which generalizes the result that is already available in the commutative case. As a result, we are able to calculate the norm ... 
Evolutionary semigroups and Lyapunov theorems in Banach spaces
(201101)We study evolutionary semigroups generated by a strongly continuous semicocycle over a locally compact metric space acting on Banach fibers. This setting simultaneously covers evolutionary semigroups arising from ... 
The Gaussian cotype of operators from C(K)
(201101)We show that the canonical embedding C(K) to LΦ(μ) has Gaussian cotype p, where μ is a Radon probability measure on K, and Φ is an Orlicz function equivalent to tp(log t)p/2 for large t. 
OrliczLorentz Spaces
(201102)The purpose of this article is to summerize some recent results of the author about OrliczLorentz spaces  function spaces that provide a common generalization of Orlicz spaces and Lorentz spaces. 
The spectrum of the kinematic dynamo operator for an ideally conducting fluid
(201101)The spectrum of the kinematic dynamo operator for an ideally conducting fluid and the spectrum of the corresponding group acting in the space of continuous divergence free vector fields on a compact Riemannian manifold ...