On convergences of signed states
It is proved that no convex and Fréchet differentiable function on c0(w1), whose derivative is locally uniformly continuous, attains its minimum at a unique point.
In this note we study some properties concerning certain copies of the classic Banach space in the Banach space of all bounded linear operators between a normed space and a Banach space equipped with the norm of the uniform convergence of operators.
Let (X,d) be a metric space. Let Φ be a linear family of real-valued functions defined on X. Let be a maximal cyclic α(·)-monotone multifunction with non-empty values. We give a sufficient condition on α(·) and Φ for the following generalization of the Rockafellar theorem to hold. There is a function f on X, weakly Φ-convex with modulus α(·), such that Γ is the weak Φ-subdifferential of f with modulus α(·), .
Il lavoro presenta diverse caratterizzazioni degli spazi Lorentz-Zygmund generalizzati (GLZ) , con , , e spazio misurato con misura finita. Dato uno spazio misurato e , otteniamo representazioni equivalenti per la (quasi-) norma dello spazio GLZ . Inoltre, se è uno spazio misurato con misura finita e , viene presentata in termini di decomposizioni una norma equivalente per lo spazio . Si dimostra che le norme equivalenti considerate per , con uno spazio a misura finita, e la...