Results 11 to 20 of about 375 (53)

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

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, G. Z. Eskandani, H. Vaezi, D. Shin   +3 more
semanticscholar   +2 more sources

An amalgamation of the Banach spaces associated with James and Schreier, Part I : Banach-space structure.

, 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

Wheeling around Mazur rotations problem [PDF]

arXiv, 2021
We study Mazur rotations problem focusing on the metric aspects of the action of the isometry group and semitransitivity properties.
arxiv  

Unconditional bases and strictly convex dual renormings [PDF]

, 2008
We present equivalent conditions for a space $X$ with an unconditional basis to admit an equivalent norm with a strictly convex dual norm.
arxiv   +1 more source

BANACH SPACES OF CONTINUOUS VECTOR-VALUED FUNCTIONS OF ORDINALS

Proceedings of the Edinburgh Mathematical Society, 2001
Let $X$ be a Banach space and $\xi$ an ordinal number. We study some isomorphic classifications of the Banach spaces $X^\xi$ of the continuous $X$-valued functions defined in the interval of ordinals $[1,\xi]$ and equipped with the supremum norm.
E. Galego
semanticscholar   +1 more source

Quasilinear mappings, M-ideals and polyhedra

, 2012
We survey the connection between two results from rather different areas: failure of the 3-space property for local convexity (and other properties) within the category of quasiBanach spaces, and the irreducibility (in the sense of Minkowski difference ...
D. Yost
semanticscholar   +1 more source

A proof of Rosenthal's \(\ell_1\) Theorem [PDF]

arXiv, 2014
A proof is given of Rosenthal's \(\ell_1\) theorem.
arxiv