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On convex functions in c0(w1).

Petr Hájek (1996)

Collectanea Mathematica

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.

On copies of c 0 in the bounded linear operator space

Juan Carlos Ferrando, J. M. Amigó (2000)

Czechoslovak Mathematical Journal

In this note we study some properties concerning certain copies of the classic Banach space c 0 in the Banach space X , Y of all bounded linear operators between a normed space X and a Banach space Y equipped with the norm of the uniform convergence of operators.

On cyclic α(·)-monotone multifunctions

S. Rolewicz (2000)

Studia Mathematica

Let (X,d) be a metric space. Let Φ be a linear family of real-valued functions defined on X. Let Γ : X 2 Φ 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(·), Γ ( x ) = Φ - α f | x .

On decompositions in generalised Lorentz-Zygmund spaces

J. S. Neves (2001)

Bollettino dell'Unione Matematica Italiana

Il lavoro presenta diverse caratterizzazioni degli spazi Lorentz-Zygmund generalizzati (GLZ) L p , q ; α R , con p , q 0 , + , m N , α R m e R , μ spazio misurato con misura μ R finita. Dato uno spazio misurato R , μ e α R - m , otteniamo representazioni equivalenti per la (quasi-) norma dello spazio GLZ L , ; α R . Inoltre, se R , μ è uno spazio misurato con misura finita e α R + m , viene presentata in termini di decomposizioni una norma equivalente per lo spazio L 1 , 1 ; α R . Si dimostra che le norme equivalenti considerate per L , ; α R , con R , μ uno spazio a misura finita, e la...

Currently displaying 321 – 340 of 1948