Strong proximinality and polyhedral spaces.

Gilles Godefroy; V. Indumathi

Displaying similar documents to “Strong proximinality and polyhedral spaces.”

Separation theorem with respect to sub-topical functions and abstract convexity.

Alimohammady, M., Shahmari, A. (2009)

The Journal of Nonlinear Sciences and its Applications

Similarity:

Ishikawa iterative process with errors for generalized Lipschitzian and Phi-accretive mappings in uniformly smooth Banach spaces

Xue Zhiqun (2006)

Kragujevac Journal of Mathematics

Similarity:

$ℵ_{0}$ -spaces and images of separable metric spaces.

Ge, Ying (2005)

Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]

Similarity:

An abstract nonlinear second order differential equation

Jan Bochenek (1991)

Annales Polonici Mathematici

Similarity:

By using the theory of strongly continuous cosine families of linear operators in Banach space the existence of solutions of a semilinear second order differential initial value problem (1) as well as the existence of solutions of the linear inhomogeneous problem corresponding to (1) are proved. The main result of the paper is contained in Theorem 5.

On Asplund functions

Wee-Kee Tang (1999)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

A class of convex functions where the sets of subdifferentials behave like the unit ball of the dual space of an Asplund space is found. These functions, which we called Asplund functions also possess some stability properties. We also give a sufficient condition for a function to be an Asplund function in terms of the upper-semicontinuity of the subdifferential map.

A geometric version of the Moore theorem in the case of infinite dimensional Banach spaces.

Ziomek, Marcin (2006)

Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica

Similarity:

The space of Whitney levels is homeomorphic to $l_{2}$

Alejandro Illanes (1993)

Colloquium Mathematicae

Similarity:

Carathéodory balls and norm balls in $H_{p, n} = z \in ℂ^{n} : ∥ z ∥_{p} < 1$

Binyamin Schwarz, Uri Srebro (1996)

Banach Center Publications

Similarity:

It is shown that for n ≥ 2 and p > 2, where p is not an even integer, the only balls in the Carathéodory distance on $H_{p, n} = z \in ℂ^{n} : ∥ z ∥_{p} < 1$ which are balls with respect to the complex $l_{p}$ norm in $ℂ^{n}$ are those centered at the origin.

The Mazur intersection property for families of closed bounded convex sets in Banach spaces

Pradipta Bandyopadhyaya (1992)

Colloquium Mathematicae

Similarity:

The Banach–Mazur game and σ-porosity

Miroslav Zelený (1996)

Fundamenta Mathematicae

Similarity:

It is well known that the sets of the first category in a metric space can be described using the so-called Banach-Mazur game. We will show that if we change the rules of the Banach-Mazur game (by forcing the second player to choose large balls) then we can describe sets which can be covered by countably many closed uniformly porous sets. A characterization of σ-very porous sets and a sufficient condition for σ-porosity are also given in the terminology of games.