نتایج جستجو برای: weak banach

تعداد نتایج: 155886  

2013
Marjan Adib M. Adib

In this paper we define the notion of weak Arens regular Banach algebras and extend the concept of quasi-multipliers to this certain class of Banach algebras. Among other the relationship between Arens regularity of the algebra A∗∗ of a weak Arens regular Banach algebra A and the space QMr(A∗) of all bilinear and separately continuous right quasimultipliers of A∗ is investigated. Further, we st...

The object of the investigation is to study reducible $M$-ideals in Banach spaces. It is shown that if the number of $M$-ideals in a Banach space $X$ is $n(<infty)$, then the number of reducible $M$-ideals does not exceed of $frac{(n-2)(n-3)}{2}$. Moreover, given a compact metric space $X$, we obtain a general form of a reducible $M$-ideal in the space $C(X)$ of continuous functions on $X$. The...

Journal: :mathematics interdisciplinary research 0
arsla hojat ansari department of mathematics, karaj branch, islamic azad university, karaj, iran, diana dolicanin-dekic faculty of technical science, 38000 kosovska mitrovica, feng gu institute of applied mathematics and department of mathematics, hangzhou normal university, hangzhou, zhejiang 310036, branislav popovic 4faculty of science, university of kragujevac, radoja domanovica 12, 34000 kragujevac, serbia, stojan n radenovic faculty of mechanical engineering, university of belgrade, kraljice marije 16, 11120 beograd, serbia

banach contraction principle has been generalized in different spaces by mathematicians over the years. mustafa and sims [18] proposed a new class of generalized metric spaces, which are called as g-metric spaces. in this type of spaces a non-negative real number is assigned to every triplet of elements. many mathematicians studied extensively various results on g-metric spaces by using the con...

Journal: :bulletin of the iranian mathematical society 2012
ali ghaffari ahmad alinejad

let $a$ be an arbitrary banach algebra and $varphi$ a homomorphism from $a$ onto $bbb c$. our first purpose in this paper is to give some equivalent conditions under which guarantees a $varphi$-mean of norm one. then we find some conditions under which there exists a $varphi$-mean in the weak$^*$ cluster of ${ain a; |a|=varphi(a)=1}$ in $a^{**}$.

Journal: :bulletin of the iranian mathematical society 0
r. a. rashwan department of mathematics, university of assiut, p.o.box 71516, assiut, egypt d. al-baqeri department of mathematics, university of assiut, p.o.box 71516, assiut, egypt

begin{abstract} in this paper, we prove some strong and weak convergence of three step random iterative scheme with errors to common random fixed points of three asymptotically nonexpansive nonself random mappings in a real uniformly convex separable banach space. end{abstract}

1994
N. J. Nielsen

We prove that if a non-atomic separable Banach lattice in a weak Hilbert space, then it is lattice isomorphic to L2(0, 1). Introduction This note is to be considered as an addendum to [3], where an extensive study of Banach lattices, which are weak Hilbert spaces, was made. We prove that if a non-atomic separable Banach lattice is a weak Hilbert space then it is lattice isomorphic to L2(0, 1). ...

2008
P. N. DOWLING

A Banach space has the weak fixed point property if its dual space has a weak∗ sequentially compact unit ball and the dual space satisfies the weak∗ uniform Kadec-Klee property; and it has the fixed point property if there exists ε > 0 such that, for every infinite subset A of the unit sphere of the dual space, A ∪ (−A) fails to be (2 − ε)-separated. In particular, E-convex Banach spaces, a cla...

2000
J. C. Ferrando

If (Ω,Σ, μ) is a finite measure space and X a Banach space, in this note we show that L w (μ,X∗), the Banach space of all classes of weak* equivalent X∗-valued weak* measurable functions f defined on Ω such that ‖f(ω)‖ ≤ g(ω) a.e. for some g ∈ L1(μ) equipped with its usual norm, contains a copy of c0 if and only if X∗ contains a copy of c0.

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