On the vector functions approximatively continuous
نویسندگان
چکیده
منابع مشابه
The ring of real-continuous functions on a topoframe
A topoframe, denoted by $L_{ tau}$, is a pair $(L, tau)$ consisting of a frame $L$ and a subframe $ tau $ all of whose elements are complementary elements in $L$. In this paper, we define and study the notions of a $tau $-real-continuous function on a frame $L$ and the set of real continuous functions $mathcal{R}L_tau $ as an $f$-ring. We show that $mathcal{R}L_{ tau}$ is actually a generali...
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 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 کاملOn the representation of hysteresis operators acting on vector-valued, left-continuous and piecewise monotaffine and continuous functions
In Brokate-Sprekels 1996, it is shown that hysteresis operators acting on scalar-valued, continuous, piecewise monotone input functions can be represented by functionals acting on alternating strings. In a number of recent papers, this representation result is extended to hysteresis operators dealing with input functions in a general topological vector space. The input functions have to be cont...
متن کاملOn Vector Partition Functions
Vector part i t ion functions appear in m a n y areas of mathemat ics and its applications, including representat ion theory [ 9 ] , commuta t ive algebra [ 14], approximat ion theory [ 4 ] and statistics [5 ] . It was shown by Blakley [ 2 ] that there exists a finite decomposi t ion of N d such that ~b A is a polynomial of degree n d on each piece. Here we describe such a decomposi t ion expli...
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: Časopis pro pěstování matematiky
سال: 1982
ISSN: 0528-2195
DOI: 10.21136/cpm.1982.118136