Discrete Gabor multipliers are composed of rank one operators. We shall prove, in the case of rank one projection operators, that the generating operators for such multipliers are either Riesz bases (exact frames) or not frames for their closed linear spans. The same dichotomy conclusion is valid for general rank one operators under mild and natural conditions. This is relevant since discrete G...

Abstract. The construction of frames for a Hilbert space H can be equated to the decomposition of the frame operator as a sum of positive operators having rank one. This realization provides a different approach to questions regarding frames with particular properties and motivates our results. We find a necessary and sufficient condition under which any positive finite-rank operator B can be e...

We consider the problem of ranking $N$ objects starting from a set noisy pairwise comparisons provided by crowd equal workers. assume that are endowed with intrinsic qualities and probability which an object is preferred to another depends only on difference between two competitors. propose class non-adaptive algorithms rely least-squares optimization criterion for estimation qualities. Such sh...

Today, over 80% of global trade is seaborne. In a world supply chains and complex industrial development processes, seaports port operators play an integral role utmost importance act as incentive to the marine economy particularly, national in general. Most importantly, chain demand shocks Covid-19 on container ports shipping industry have intensified competition among terminal operators. Thus...

We introduce the concept of a parameterized collection of games with limited side payments, ruling out large transfers of utility. Under the assumption that the payoff set of the grand coalition is convex, we show that a game ∗This paper revises Autonomous University of Barcelona Working Paper number WP 392.97 and Warwick University Department of Economics Working Paper No 536. The authors are ...

The concept of g-frame is a natural extension the frame. This article mainly discusses relationship between some special bounded linear operators and g-frames, characterizes properties g-frames. In addition, according to operator spectrum theory, eigenvalues are introduced into new expression best frame boundary given.

Abstract Sebastián-Gallés et al. [The influence of initial exposure on lexical representation: Comparing early and simultaneous bilinguals. Journal of Memory and Language, 52, 240-255, 2005] contrasted highly proficient early Spanish-Catalan and Catalan-Spanish bilinguals, using Catalan materials in a lexical decision task (LDT). They constructed two types of experimental pseudowords, substitut...

Fusion frame theory is an emerging mathematical theory that provides a natural framework for performing hierarchical data processing. In this paper, we introduce the notion of a sparse fusion frame, that is, a fusion frame whose subspaces are generated by orthonormal basis vectors that are sparse in a ‘uniform basis’ over all subspaces, thereby enabling low-complexity fusion frame decomposition...

We present experimental results for pattern formation in Rayleigh-Bénard convection with modulated rotation about a vertical axis. The dimensionless rotation rate Omega was varied as Omega(m)=Omega[1+delta cos(phi Omega t)] (time is scaled by the vertical viscous diffusion time of the cell). We used a cylindrical cell of aspect ratio (radius/height) Gamma=11.8 and varied Omega, delta, phi, and ...