Results 11 to 20 of about 374 (55)
On Fixed Point Property under Lipschitz and Uniform Embeddings
Journal of Function Spaces, Volume 2018, Issue 1, 2018., 2018 We first present a generalization of ω⁎‐Gâteaux differentiability theorems of Lipschitz mappings from open sets to those closed convex sets admitting nonsupport points and then show that every nonempty bounded closed convex subset of a Banach space has the fixed point property for isometries if it Lipschitz embeds into a super reflexive space. With the
Jichao Zhang +3 more
wiley +1 more source
Homomorphisms and derivations in C∗-ternary algebras via fixed point method
Advances in Differential Equations, 2012 Park (J. Math. Phys. 47:103512, 2006) proved the Hyers-Ulam stability of homomorphisms in C∗-ternary algebras and of derivations on C∗-ternary algebras for the following generalized Cauchy-Jensen additive mapping: 2f(∑j=1pxj2+∑j=1dyj)=∑j=1pf(xj)+2∑j=1df(
HM Kenari, R. Saadati, Choonkill Park
semanticscholar +2 more sources
Approximation of linear mappings in Banach modules over C∗-algebras
Journal of Inequalities and Applications, 2013 Let X, Y be Banach modules over a C∗-algebra and let r1,…,rn∈R be given. Using fixed-point methods, we prove the stability of the following functional equation in Banach modules over a unital C∗-algebra: ∑j=1nf(12∑1≤i≤n,i≠jrixi−12rjxj)+∑i=1nrif(xi)=nf(12∑
Choonkill Park, Y. Cho, R. Saadati
semanticscholar +2 more sources
Some Banach spaces added by a Cohen real [PDF]
, 2014 We study certain Banach spaces that are added in the extension by one Cohen real. Specifically, we show that adding just one Cohen real to any model adds a Banach space of density $\aleph_1$ which does not embed into any such space in the ground model ...
Bell +11 more
core +3 more sources
A correction to approximation of generalized homomorphisms in quasi-Banach algebras
, 2018 Eshaghi et. al [Approximation of generalized homomorphisms in quasi–Banach algebras, An. St. Univ. Ovidius Constanta, 17(2), (2009), 203–214] defined the notion of generalized homomorphisms in quasi–Banach algebras.
I. Nikoufar
semanticscholar +1 more source
Hyers-Ulam stability of derivations on proper Jordan CQ*-algebras
Journal of Inequalities and Applications, 2012 Eskandani and Vaezi proved the Hyers-Ulam stability of derivations on proper Jordan CQ*-algebras associated with the following Pexiderized Jensen type functional equation kfx+yk=f0(x)+f1(y) by using direct method.
Choonkill Park +3 more
semanticscholar +2 more sources
, 2010 We create a new family of Banach spaces, the James‐Schreier spaces, by amalgamating two important classical Banach spaces: James’ quasi-reflexive Banach space on the one hand and Schreier’s Banach space giving a counterexample to the Banach‐Saks property
A. Bird, N. Laustsen
semanticscholar +1 more source
Hyperbolic Metric Spaces and Stochastic Embeddings
Forum of Mathematics, SigmaStochastic embeddings of finite metric spaces into graph-theoretic trees have proven to be a vital tool for constructing approximation algorithms in theoretical computer science.
Chris Gartland
doaj +1 more source
Stampacchia's property, self-duality and orthogonality relations
, 2010 We show that if the conclusion of the well known Stampacchia Theorem, on variational inequalities, holds on a Banach space X, then X is isomorphic to a Hilbert space.
Yannakakis, Nikos
core +1 more source
Renorming spaces with greedy bases [PDF]
, 2014 We study the problem of improving the greedy constant or the democracy constant of a basis of a Banach space by renorming. We prove that every Banach space with a greedy basis can be renormed, for a given $\vare>0$, so that the basis becomes $(1+\vare ...
Dilworth, S. J. +4 more
core +1 more source