Functional decompositions on vector-valued function spaces via operators
نویسندگان
چکیده
منابع مشابه
Bilateral composition operators on vector-valued Hardy spaces
Let $T$ be a bounded operator on the Banach space $X$ and $ph$ be an analytic self-map of the unit disk $Bbb{D}$. We investigate some operator theoretic properties of bilateral composition operator $C_{ph, T}: f ri T circ f circ ph$ on the vector-valued Hardy space $H^p(X)$ for $1 leq p leq +infty$. Compactness and weak compactness of $C_{ph, T}$ on $H^p(X)$ are characterized an...
متن کاملbilateral composition operators on vector-valued hardy spaces
let $t$ be a bounded operator on the banach space $x$ and $ph$ be an analytic self-map of the unit disk $bbb{d}$. we investigate some operator theoretic properties of bilateral composition operator $c_{ph, t}: f ri t circ f circ ph$ on the vector-valued hardy space $h^p(x)$ for $1 leq p leq +infty$. compactness and weak compactness of $c_{ph, t}$ on $h^p(x)$ are characterized an...
متن کاملNuclear Operators on Spaces of Continuous Vector-Valued Functions
Abstract Let Ω be a compact Hausdorff space, let E be a Banach space, and let C(Ω, E) stand for the Banach space of all E-valued continuous functions on Ω under supnorm. In this paper we study when nuclear operators on C(Ω, E) spaces can be completely characterized in terms of properties of their representing vector measures. We also show that if F is a Banach space and if T : C(Ω, E) → F is a ...
متن کامل0 Integral Operators on Spaces of Continuous Vector - valued functions
Let X be a compact Hausdorff space, let E be a Banach space, and let C(X,E) stand for the Banach space of E-valued continuous functions on X under the uniform norm. In this paper we characterize Integral operators (in the sense of Grothendieck) on C(X,E) spaces in term of their representing vector measures. This is then used to give some applications to Nuclear operators on C(X,E) spaces. AMS(M...
متن کاملcompactifications and function spaces on weighted semigruops
chapter one is devoted to a moderate discussion on preliminaries, according to our requirements. chapter two which is based on our work in (24) is devoted introducting weighted semigroups (s, w), and studying some famous function spaces on them, especially the relations between go (s, w) and other function speces are invesigated. in fact this chapter is a complement to (32). one of the main fea...
15 صفحه اولذخیره 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: 2012
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2011.12.057