The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

Displaying similar documents to “Uniformly convex and uniformly smooth convex functions”

The cancellation law for inf-convolution of convex functions

Dariusz Zagrodny (1994)

Studia Mathematica

Similarity:

Conditions under which the inf-convolution of f and g f g ( x ) : = i n f y + z = x ( f ( y ) + g ( z ) ) has the cancellation property (i.e. f □ h ≡ g □ h implies f ≡ g) are treated in a convex analysis framework. In particular, we show that the set of strictly convex lower semicontinuous functions f : X + on a reflexive Banach space such that l i m x f ( x ) / x = constitutes a semigroup, with inf-convolution as multiplication, which can be embedded in the group of its quotients.

On equivalent strictly G-convex renormings of Banach spaces

Nataliia Boyko (2010)

Open Mathematics

Similarity:

We study strictly G-convex renormings and extensions of strictly G-convex norms on Banach spaces. We prove that ℓω(Γ) space cannot be strictly G-convex renormed given Γ is uncountable and G is bounded and separable.