We show that every nonvoid relatively weakly open subset, in particular every slice, of the unit ball of an infinite-dimensional uniform algebra has diameter 2. It is an important task in Banach space theory to determine the extreme point structure of the unit ball for various examples of Banach spaces. The most common way to describe “corners” of convex sets is by looking for extreme points, e...

HDL cholesterol (HDL-C) remains a superior biochemical predictor of CVD risk, but its genetic basis is incompletely defined. In patients with extreme HDL-C concentrations, we concurrently evaluated the contributions of multiple large- and small-effect genetic variants. In a discovery cohort of 255 unrelated lipid clinic patients with extreme HDL-C levels, we used a targeted next-generation sequ...

European clam ( Ruditapes decussatus ) is one of the most relevant emergent bivalve species from aquaculture sector in Europe with high economic value. Climate changes represent a potential limiting factor to this activity, directly interfering survival and behavior bivalves. Severe fluctuations temperature along periods heavy rainfall or drought that significantly change salinity can promote p...

Two xed-point optimization utility programs, the range estimator and the xed-point simulator, are developed for scaling and wordlength determination of digital signal processing algorithms written in C or C++ language. By exploiting the operator overloading characteristics of C++ language, range estimation and xed-point simulation can be conducted just by modifying the variable declaration of t...

The main aim of this paper is to introduce three classes $H^0_{p,q}$, $H^1_{p,q}$ and $TH^*_p$ of $p$-harmonic mappings and discuss the properties of mappings in these classes. First, we discuss the starlikeness and convexity of mappings in $H^0_{p,q}$ and $H^1_{p,q}$. Then establish the covering theorem for mappings in $H^1_{p,q}$. Finally, we determine the extreme points of the class $TH^*_{p}$.

In this paper, a Krein-Milman  type theorem in $T_0$ semitopological cone is proved,  in general. In fact, it is shown that in any locally convex $T_0$ semitopological cone, every convex compact saturated subset is the compact saturated convex hull of its extreme points, which improves the results of Larrecq.

Suppose that c is a linear operator acting on an n-dimensional complex Hilbert Space H, and let τ denote the normalized trace on B(H). Set b1 = (c + c )/2 and b2 = (c − c)/2i, and write B for the the spectral scale of {b1, b2} with respect to τ . We show that B contains full information about Wk(c), the k-numerical range of c for each k = 1, . . . , n. We then use our previous work on spectral ...

This article presents techniques to improve the frequency stability of $RC$ oscillators by performing first- and second-order temperature compensation without needing resistors with opposite coefficients (TCs). Using proposed three-po...

We study transitivity conditions on the norm of JB∗-triples, C∗-algebras, JBalgebras, and their preduals. We show that, for the predual X of a JBW∗-triple, each one of the following conditions i) and ii) implies that X is a Hilbert space. i) The closed unit ball of X has some extreme point and the norm of X is convex transitive. ii) The set of all extreme points of the closed unit ball of X is ...