Results 21 to 30 of about 118 (114)
On uniform Kadec‐Klee properties and rotundity in generalized Cesàro sequence spaces
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 2, Page 91-97, 2004., 2004 We consider the generalized Cesàro sequence spaces defined by Suantai (2003) and consider it equipped with the Amemiya norm. The main purpose of this paper is to show that ces(p) equipped with the Amemiya norm is rotund and has uniform Kadec‐Klee property.
Narin Petrot, Suthep Suantai
wiley +1 more source
Strong and weak convergence of Ishikawa iterations for best proximity pairs
Open Mathematics, 2020 Let A and B be nonempty subsets of a normed linear space X. A mapping T : A ∪ B → A ∪ B is said to be a noncyclic relatively nonexpansive mapping if T(A) ⊆ A, T(B) ⊆ B and ∥Tx − Ty∥ ≤ ∥x − y∥ for all (x, y) ∈ A × B.
Gabeleh Moosa +3 more
doaj +1 more source
On the weak uniform rotundity of Banach spaces
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 30, Page 1943-1945, 2003., 2003 We prove that if Xi, i = 1, 2, …, are Banach spaces that are weak* uniformly rotund, then their lp product space (p > 1) is weak* uniformly rotund, and for any weak or weak* uniformly rotund Banach space, its quotient space is also weak or weak* uniformly rotund, respectively.
Wen D. Chang, Ping Chang
wiley +1 more source
Some results about Lipschitz p-Nuclear Operators
Moroccan Journal of Pure and Applied Analysis, 2021 The aim of this paper is to study the onto isometries of the space of strongly Lipschitz p-nuclear operators, introduced by D. Chen and B. Zheng (Nonlinear Anal.,75, 2012).
Bey Khedidja, Belacel Amar
doaj +1 more source
Proximinal subspaces of A(K) of finite codimension
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 39, Page 2501-2505, 2003., 2003 We study an analogue of Garkavi′s result on proximinal subspaces of C(X) of finite codimension in the context of the space A(K) of affine continuous functions on a compact convex set K. We give an example to show that a simple‐minded analogue of Garkavi′s result fails for these spaces.
T. S. S. R. K. Rao
wiley +1 more source
Small sets in best approximation theory
, 2010 Best approximation, Metric projection, Well-posedness, Baire category, Porous sets, Cone supported sets, 41A65, 46B20,
J. P. Revalski +3 more
core +1 more source
On k‐nearly uniform convex property in generalized Cesàro sequence spaces
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 57, Page 3599-3607, 2003., 2003 We define a generalized Cesàro sequence space ces(p), where p = (pk) is a bounded sequence of positive real numbers, and consider it equipped with the Luxemburg norm. The main purpose of this paper is to show that ces(p) is k‐nearly uniform convex (k‐NUC) for k ≥ 2 when limn→∞infpn > 1. Moreover, we also obtain that the Cesàro sequence space cesp(where
Winate Sanhan, Suthep Suantai
wiley +1 more source
Tight Embeddability of Proper and Stable Metric Spaces
Analysis and Geometry in Metric Spaces, 2015 We introduce the notions of almost Lipschitz embeddability and nearly isometric embeddability. We prove that for p ∈ [1,∞], every proper subset of Lp is almost Lipschitzly embeddable into a Banach space X if and only if X contains uniformly the ℓpn’s. We
Baudier F., Lancien G.
doaj +1 more source
DP1 and completely continuous operators
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 37, Page 2375-2378, 2003., 2003 W. Freedman introduced an alternate to the Dunford‐Pettis property, called the DP1 property, in 1997. He showed that for 1 ≤ p < ∞, (⊕α∈𝒜Xα) p has the DP1 property if and only if each Xα does. This is not the case for (⊕α∈𝒜Xα) ∞. In fact, we show that (⊕α∈𝒜Xα) ∞ has the DP1 property if and only if it has the Dunford‐Pettis property.
Elizabeth M. Bator, Dawn R. Slavens
wiley +1 more source
A renorming of ℓ2, rare but with the fixed‐point property
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 65, Page 4115-4129, 2003., 2003 We give an example of a renorming of ℓ2 with the fixed‐point property (FPP) for nonexpansive mappings, but which seems to fall out of the scope of all the commonly known sufficient conditions for FPP.
Antonio Jiménez-Melado +1 more
wiley +1 more source