I-Completeness in Function Spaces-Reference-Cited by-同舟云学术

I-Completeness in Function Spaces

Published:2019-11-15 Issue:1 Volume:74 Page:35-46
ISSN:1210-3195
Container-title:Tatra Mountains Mathematical Publications
language:en
Short-container-title:

Author:

Banerjee Amar Kumar¹,Banerjee Apurba¹

Affiliation:

1. Department of Mathematics , The University of Burdwan , Burdwan , West Bengal, India

Abstract

Abstract In this paper, we have studied the idea of ideal completeness of function spaces YX with respect to pointwise uniformity and uniformity of uniform convergence. Further, involving topological structure on X,wehaveobtained relationships between the uniformity of uniform convergence on compacta on YX and uniformity of uniform convergence on Y X in terms of I-Cauchy condition and I-convergence of a net. Also, using the notion of a k-space, we have given a sufficient condition for C(X, Y) to be ideal complete with respect to the uniformity of uniform convergence on compacta.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.sciendo.com/pdf/10.2478/tmmp-2019-0017

Reference18 articles.

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