Banach Lattices of Continuous Banach Lattice-Valued Functions
نویسندگان
چکیده
منابع مشابه
The Centre of the Spaces of Banach Lattice-Valued Continuous Functions on the Generalized Alexandroff Duplicate
and Applied Analysis 3 where Hα is a Γ-open set, Gγ is a Σ-open set, and Mγ is a Γ-compact set. It is easy to see that {Gγ ×{0}}γ∈Ω is an open cover ofK×{0}, thus there is a finite subcoverGγ1 ×{0}, . . . , Gγn ×{0}. Then, Gγ1 × {0, 1} \Mγ1 × {1} ∪ · · · ∪Gγn × {0, 1} \Mγn × {1} 1.6 misses only finitely many Γ-compact sets Mγ1 × {1}, . . . ,Mγn × {1}. AsMγj j 1, 2, . . . , n is compact, we have...
متن کاملConvolution Operators on Banach Space Valued Functions.
The purpose of this paper is to obtain systematically certain classical inequalities concerning the Hilbert transform, the function g of Littlewood and Paley, their generalizations to several variables, and related results.t This we accomplish by establishing certain inequalities for convolution operators on Banach space valued functions. Given a Banach space B, If I will denote the norm of the...
متن کاملamenability of banach algebras
chapters 1 and 2 establish the basic theory of amenability of topological groups and amenability of banach algebras. also we prove that. if g is a topological group, then r (wluc (g)) (resp. r (luc (g))) if and only if there exists a mean m on wluc (g) (resp. luc (g)) such that for every wluc (g) (resp. every luc (g)) and every element d of a dense subset d od g, m (r)m (f) holds. chapter 3 inv...
15 صفحه اولThe lattice copies of l1 in Banach lattices
It is known that a Banach lattice with order continuous norm contains a copy of l1 if and only if it contains a lattice copy of l1. The purpose of this note is to present a more direct proof of this useful fact, which extends a similar theorem due to R.C. James for Banach spaces with unconditional bases, and complements the c0and l∞-cases considered by Lozanovskii, Mekler and Meyer-Nieberg.
متن کاملCompletely Continuous Banach Algebras
For a Banach algebra $fA$, we introduce ~$c.c(fA)$, the set of all $phiin fA^*$ such that $theta_phi:fAto fA^*$ is a completely continuous operator, where $theta_phi$ is defined by $theta_phi(a)=acdotphi$~~ for all $ain fA$. We call $fA$, a completely continuous Banach algebra if $c.c(fA)=fA^*$. We give some examples of completely continuous Banach algebras and a suffici...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1996
ISSN: 0022-247X
DOI: 10.1006/jmaa.1996.0072