Weakly uniformly continuous holomorphic functions and the approximation property
نویسندگان
چکیده
منابع مشابه
Rings of Uniformly Continuous Functions
There is a natural bijective correspondence between the compactifications of a Tychonoff space X, the totally bounded uniformities on X, and the unital C∗-subalgebras of C∗(X) (the algebra of bounded continuous complex valued functions on X) with what we call the completely regular separation property. The correspondence of compactifications with totally bounded uniformities is well know and ca...
متن کاملWeakly Λ-continuous Functions
It is the objective of this paper to introduce a new class of generalizations of continuous functions via λ-open sets called weakly λcontinuous functions. Moreover, we study some of its fundamental properties. It turns out that weak λ-continuity is weaker than λ-continuity [1]. AMS Mathematics Subject Classification (2000): 54C10, 54D10
متن کاملApproximating Continuous Functions by Holomorphic and Harmonic Functions
If Q is a Widom domain in the plane (e.g., finitely connected) and / is any bounded harmonic function on Q which is not holomorphic, then we prove the algebra H°°(Sl)[f] contains all the uniformly continuous functions on ÎÎ . The basic tools are the solution of the 5 equation with L°° estimates and some estimates on the level sets of functions in BMOA.
متن کاملBetween continuous and uniformly continuous functions on R n ∗
We study classes of continuous functions on R that can be approximated in various degree by uniformly continuous ones (uniformly approachable functions). It was proved in [BDP1] that no polynomial function can distinguish between them. We construct examples that distinguish these classes (answering a question from [BDP1]) and we offer appropriate forms of uniform approachability that enable us ...
متن کاملON WEAKLY m-CONTINUOUS FUNCTIONS
In this paper we introduce a new notion of weakly m-continuous functions as functions from a set satisfying some minimal conditions into a topological spaces. We obtain some characterizations and several properties of such functions. Moreover, we define strongly m-closed graphs, m-compactness and m-connectedness and investigate the relationship between their properties and weakly m-continuous f...
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: Indagationes Mathematicae
سال: 2001
ISSN: 0019-3577
DOI: 10.1016/s0019-3577(01)80022-7