A generalized inductive limit strict topology on the space of bounded continuous functions

Generalized Rings of Measurable and Continuous Functions

This paper is an attempt to generalize, simultaneously, the ring of real-valued continuous functions and the ring of real-valued measurable functions.

Pointfree topology version of image of real-valued continuous functions

Let $ { mathcal{R}} L$ be the ring of real-valued continuous functions on a frame $L$ as the pointfree  version of $C(X)$, the ring of all real-valued continuous functions on a topological space $X$. Since $C_c(X)$ is the largest subring of $C(X)$ whose elements have countable image, this motivates us to present the pointfree  version of $C_c(X).$The main aim of this paper is to present t...

Holomorphic Functions on Strict Inductive Limjis of Banach Spaces

In this article we show that a number of apparently different properties coincide on tite set of holomorpitic functions on a strict inductive limit (aH inductive limits are asgumed to be countable and proper) of Banach spaces and that they are ¿II satisfied only ‘u tite trivial case of a strict inductive limit of finite dimensional spaces. Thus tite linear properties of a strict inductive Iimit...

On images of continuous functions from a compact manifold to Euclidean space

Some Remarks on Generalized Sequence Space of Bounded Variation of Sequences of Fuzzy Numbers

The idea of difference sequences of real (or complex) numbers was introducedby Ki zmaz cite{Kizmaz}. In this paper, using the difference operator and alacunary sequence, we introduce and examine the class of sequence $bv_{theta}left(  Delta,mathcal{F}right)  .$ We study some of its properties likesolidity, symmetricity, etc.