Results 51 to 60 of about 2,678 (104)
A proof of uniqueness of the Gurarii space
, 2011 We present a short and elementary proof of isometric uniqueness of the Gurarii space.Comment: 6 pages, some improvements ...
A. Avilés +9 more
core +1 more source
On the numerical index of the real two-dimensional $L_p$ space [PDF]
arXiv, 2022 We compute the numerical index of the two-dimensional real $L_p$ space for $\frac65\leq p\leq \frac32$ and $3\leq p\leq 6$.
arxiv
KKM and KY fan theorems in modular function spaces
Fixed Point Theory and Applications, 2011 In modular function spaces, we introduce Knaster-Kuratowski-Mazurkiewicz mappings (in short KKM-mappings) and prove an analogue to Ky Fan s fixed point theorem. 2010 Mathematics Subject Classification: Primary 46B20, 47H09; Secondary 47H10.
Latif Abdul +2 more
doaj
Round and sleek topological spaces [PDF]
arXiv, 2022 In this paper, we introduce round and sleek topological spaces and study their properties.
arxiv
The diameter of the Birkhoff polytope
Special MatricesThe geometry of the compact convex set of all n×nn\times n doubly stochastic matrices, a structure frequently referred to as the Birkhoff polytope, has been an active subject of research as of late.
Bouthat Ludovick +2 more
doaj +1 more source
A note about Grothendieck's constant [PDF]
arXiv, 2023 A remark on the proof that the Grothendieck constant satisfies $K_G < \pi/(2\ln(1+\sqrt{2}))$.
arxiv
A reflexive Banach space with an uncomplemented isometric subspace [PDF]
arXiv, 2023 We construct a reflexive Banach space $X$ with a subspace isometric to $X$, which is not complemented in $X$.
arxiv
Phillips' Lemma for L-embedded Banach spaces
, 2010 In this note the following version of Phillips' lemma is proved. The L-projection of an L-embedded space - that is of a Banach space which is complemented in its bidual such that the norm between the two complementary subspaces is additive - is weak ...
Pfitzner, Hermann
core +3 more sources
Noncyclic Meir-Keeler contractions and best proximity pair theorems
Demonstratio Mathematica, 2018 In this article, we consider the class of noncyclic Meir-Keeler contractions and study the existence and convergence of best proximity pairs for such mappings in the setting of complete CAT(0) spaces.
Gabeleh Moosa, Markin Jack
doaj +1 more source
Uniform embeddings, homeomorphisms and quotient maps between Banach spaces (A short survey) [PDF]
arXiv, 1997 This is a survey of the area mentioned in the title.
arxiv