1 citations · 4 across the 9 of their papers we have counts for
10 papers
Hadamard's lemma in separable Hilbert spaces
Arian Bërdëllima
We extend Hadamard's Lemma to the setting of a separable Hilbert space.
Banach spaces of sequences arising from infinite matrices
Arian Bërdëllima, Naim L. Braha
Given an infinite matrix we study a family of sequence spaces associated with it. When equipped with a suitable norm we prove some basic p…
Existence and uniqueness of optimal transport maps in locally compact spaces
Arian Bërdëllima
We show that in a locally compact complete space satisfying positive angles property and a disintegration regularity for its canonical Hausdorff measure, there exists a un…
On a weak topology for Hadamard spaces and its applications
Arian Bërdëllima
We investigate if an existing notion of weak sequential convergence in a Hadamard space can be induced by a topology. We provide an answer on what we call weakly proper Hadamard sp…
Weak topologies for unbounded nets in CAT() spaces
Philip Miller, Arian Berdellima, Max Wardetzky
Weak topologies that yield weak convergence for bounded sequences and nets in CAT() spaces have been studied in the past. We are here concerned with weak topologies that yield w…
Quasi -Firmly Nonexpansive Mappings in Wasserstein Spaces
Arian Bërdëllima, Gabriele Steidl
This paper introduces the concept of quasi -firmly nonexpansive mappings in Wasserstein spaces over and analyzes properties of these mappings. We prove that for qu…
Compact sets and the closure of their convex hulls in CAT(0) spaces
Arian Bërdëllima
We study the closure of the convex hull of a compact set in a complete CAT(0) space. First we give characterization results in terms of compact sets and the closure of their convex…
On sharp constants in Paley problem for plurisubharmonic functions of lower order
Arian Bërdëllima
In 1999 Khabibullin established the best estimate in Paley problem for a plurisubharmonic function of finite lower order . For obtaining a sharp estimate ha…
On a notion of averaged operators in CAT(0) spaces
Arian Berdellima
Averaged operators have played an important role in fixed point theory in Hilbert spaces. They emerged as a necessity to obtain solutions to fixed point problems where the underlyi…
On a theorem about Mosco convergence in Hadamard spaces
Arian Berdellima
Let be a sequence of proper closed convex functions defined on a Hadamard space. We show that the convergence of proximal mappings to , under certain addit…