8 citations · 9 across the 3 of their papers we have counts for
5 papers · 1 filter
Star-finite coverings of Banach spaces
Carlo Alberto De Bernardi, Jacopo Somaglia, Libor Vesely
We study star-finite coverings of infinite-dimensional normed spaces. A family of sets is called star-finite if each of its members intersects only finitely many other members of t…
Rethinking Polyhedrality for Lindenstrauss Spaces
Emanuele Casini, Enrico Miglierina, Łukasz Piasecki
A recent example by the authors (see arXiv:1503.09088 [math.FA]) shows that an old result of Zippin about the existence of an isometric copy of in a separable Lindenstrauss spa…
On extensions of d.c. functions and convex functions
Libor Vesely, Ludek Zajicek
We show how our recent results on compositions of d.c. functions (and mappings) imply positive results on extensions of d.c. functions (and mappings). Examples answering two natura…
Quotients of continuous convex functions on nonreflexive Banach spaces
P. Holicky, O. Kalenda, L. Vesely +1
On each nonreflexive Banach space X there exists a positive continuous convex function f such that 1/f is not a d.c. function (i.e., a difference of two continuous convex functions…
Delta-semidefinite and delta-convex quadratic forms in Banach spaces
N. Kalton, S. V. Konyagin, L. Vesely
A continuous quadratic form ("quadratic form", in short) on a Banach space is: (a) delta-semidefinite (i.e., representable as a difference of two nonnegative quadratic forms) i…