Abstract In this paper, we characterize surjective isometries on certain classes of noncommutative spaces associated with semi-finite von Neumann algebras: the Lorentz $L^{w,1}$ , as well $L^1+L^\infty$ and $L^1\cap L^\infty$ . The technique used in all three cases relies characterizations extreme points unit balls these spaces. Of particular interest is that representations obtained paper are ...

We report a simple, affordable (?0.02 US $/test), rapid (within 5 min), and quantitative paper-based sensor integrated with smartphone application for on-spot detection of hemoglobin (Hgb) concentration using approximately 10 ?L finger-pricked blood. Quantitative analytical colorimetry is achieved via an Android-based (Sens-Hb), integrating key operational steps image acquisition, real-time ana...

Abstract. In this paper we define and verify a subclass of harmonic univalent functions involving the argument of complex-value functions of the form f = h + ¯g and investigate some properties of this subclass e.g. necessary and sufficient coefficient bounds, extreme points, distortion bounds and Hadamard product.Abstract. In this paper we define and verify a subclass of harmonic univalent func...

An effective strategy for accelerating the calculation of convex hulls for point sets is to filter the input points by discarding interior points. In this paper, we present such a straightforward and efficient preprocessing approach by exploiting the GPU. The basic idea behind our approach is to discard the points that locate inside a convex polygon formed by 16 extreme points. Due to the fact ...

This short course covers the application of the statistical theory of extreme values to climate, in general, and to climate change, in particular. The statistical theory of extreme values is briefly reviewed, both the extremal types theorem with its application via the block maxima approach (i.e., fitting the generalized extreme value distribution) and the point process model with its applicati...

Abstract: This paper presents a design method of 2-dimensional (2-D) FIR filters by successive projection (SP) method using multiple extreme frequency points based on Fritz John’s theorem. The proposed method enables an update of coefficients using multiple extreme frequency points by Fritz John’s theorem. Moreover, we also present two methods as how to choose the extreme frequency point for th...

The extreme or unanchored discrepancy is the geometric discrepancy of point sets in the d-dimensional unit cube with respect to the set system of axis-parallel boxes. For 2 ≤ p < ∞ we provide upper bounds for the average Lp-extreme discrepancy. With these bounds we are able to derive upper bounds for the inverse of the L∞-extreme discrepancy with optimal dependence on the dimension d and explic...

All forms of the simplex method reach the optimum by traversing a series of basic solutions. Since each basic solution represents an extreme point of the feasible region, the track followed by the algorithm moves around the boundary of the feasible region. In the worst case, it may be necessary to examine most if not all of the extreme points. This can be cripplingly inefficient given that the ...