Answer to a question by M. Feder about K(X,Y).
We show that a Banach space constructed by Bourgain-Delbaen in 1980 answers a question put by Feder in 1982 about spaces of compact operators.
Antiproximinal ѕets in Banach ѕpaces
Application à la Dualité d'une Propriété d'Intersection de Boules.
Applications of some results of infinite-dimensional topology to the topological classification of operator images [Book]
Applications of ultrapowers and Lipschitz classification of Banach spaces
Applications of ultrapowers to the uniform and Lipschitz classification of Banach spaces
Approximating fixed points of -firmly nonexpansive mappings in Banach spaces.
Arbres dont toutes les branches sont faiblement Cauchy
Asplund Functions and Projectional Resolutions of the Identity
*Supported by the Grants AV ˇCR 101-97-02, 101-90-03, GA ˇCR 201-98-1449, and by the Grant of the Faculty of Civil Engineering of the Czech Technical University No. 2003.We further develop the theory of the so called Asplund functions, recently introduced and studied by W. K. Tang. Let f be an Asplund function on a Banach space X. We prove that (i) the subspace Y := sp ∂f(X) has a projectional resolution of the identity, and that (ii) if X is weakly Lindel¨of determined, then X admits a projectional...
Asplund spaces
Asplund spaces for beginners
Asymptotic uniform moduli and Kottman constant of Orlicz sequence spaces.
Averages of uniformly continuous retractions
Let X be an infinite-dimensional complex normed space, and let B and S be its closed unit ball and unit sphere, respectively. We prove that the identity map on B can be expressed as an average of three uniformly retractions of B onto S. Moreover, for every 0≤ r < 1, the three retractions are Lipschitz on rB. We also show that a stronger version where the retractions are required to be Lipschitz does not hold.
Averaging at any level.