Results 11 to 20 of about 39 (39)

Choquet boundary for some subspaces of continuous functions: Dedicated to Professor Heiner Gonska on the occasion of his 70th anniversary.

open access: yes, 2019
We investigate the Choquet boundary for subspaces of parabolic functions and for linearly separating subspaces of continuous functions. The relation of the Choquet boundary with the set of peak points is also investigated.
HODIȘ, Laura, MĂDUȚA, Alexandra
core   +1 more source

Iterates of positive linear operators on Bauer simplices: Dedicated to Professor Heiner Gonska on the occasion of his 70th anniversary.

open access: yes, 2019
We consider positive linear operators acting on C(K), where K is a metrizable Bauer simplex. For such an operator L we investigate the limit of the iterates Lm, when m → ∞. Qualitative results and rates of convergence are obtained.
HODIȘ, Sever, DANCS, Mădălina
core   +1 more source

A Survey on Renorming and Set Convergence

open access: yes, 1995
. This article presents a survey of some recent results relating set convergence and renorming. We focus most of our attention on norms having various Kadec--Klee properties and their interplay with certain forms of set convergence including Wijsman and ...
Jon D. Vanderwerff   +3 more
core   +1 more source

A Characterization of l1+(Γ)

open access: yes, 2004
This article is dedicated to the memory of my friend and collaborator, Yuri A bramovich.Abstract unavailable at this time... Mathematics Subject Classification (2000): 46B3, 46B10, 46B42, 46A55.Key words: Cones, bases for cones, quasi-interior points ...
Polyrakis, Ioannis A.
core  

Convex Functions on "Sequentially Reflexive" Banach Spaces

open access: yes, 1995
. There is a sizeable class of results precisely relating boundedness, convergence and differentiability properties of continuous convex functions on Banach spaces to whether or not the space contains an isomorphic copy of ` 1 .
Jon Borwein, Jon Vanderwerff
core  

Epigraphical and Uniform Convergence of Convex Functions

open access: yes, 1995
. We examine when a sequence of lsc convex functions on a Banach space converges uniformly on bounded sets (resp. compact sets) provided it converges Attouch-Wets (resp. Painlev'e-Kuratowski). We also obtain related results for pointwise convergence
Jon D. Vanderwerff, Jonathan M. Borwein
core  

Characterizations of Banach Spaces via Convex and other Locally Lipschitz Functions

open access: yes, 1996
. Various properties of Banach spaces, including the reflexivity and the Schur property of a space, are characterized in terms of properties of corresponding classes of locally Lipschitz functions on those spaces. AMS Classification. 46A55, 46B20, 52A41.
Jon Borwein   +2 more
core  

Affine Baire functions on Choquet simplices

open access: yesOpen Mathematics, 2011
Kačena Miroslav, Spurný Jiří
doaj   +1 more source
Some of the next articles are maybe not open access.

Extreme Points and the Diameter Norm

Rocky Mountain Journal of Mathematics, 2004
Juan J Font, Manuel Sanchís
exaly  

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