18 citations · 58 across the 15 of their papers we have counts for
19 papers
Orlicz functions that do not satisfy the -condition and high order Gateaux smoothness in
Milen Ivanov, Stanimir Troyanski, Nadia Zlateva
We study Orlicz functions that do not satisfy the -condition at zero. We prove that for every Orlicz function such that for some , ther…
Daugavet- and delta-points in Banach spaces with unconditional bases
Trond A. Abrahamsen, Vegard Lima, André Martiny +1
We study the existence of Daugavet- and delta-points in the unit sphere of Banach spaces with a -unconditional basis. A norm one element in a Banach space is a Daugavet-poin…
Spaces C(K) with an equivalent URED norm
Antonio Avilés, Stanimir Troyanski
We prove that a Banach space of continuous functions has a renorming that is uniformly rotund in every direction (URED) if and only if the compact space supports a stric…
Almost square dual Banach spaces
Trond A. Abrahamsen, Petr Hájek, Stanimir Troyanski
We show that finite dimensional Banach spaces fail to be uniformly non locally almost square. Moreover, we construct an equivalent almost square bidual norm on As a…
Locally uniformly rotund renormings of the spaces of continuous functions on Fedorchuk compacts
S. P. Gul'ko, A. V. Ivanov, M. S. Shulikina +1
We show that admits an equivalent pointwise lower semicontinuous locally uniformly rotund norm provided is Fedorchuk compact of spectral height 3. In other words adm…
Approximation of norms on Banach spaces
Richard J. Smith, Stanimir Troyanski
Relatively recently it was proved that if is an arbitrary set, then any equivalent norm on can be approximated uniformly on bounded sets by polyhedral norms and $C^\in…