scholarly journals Multivalued function spaces and Atsuji spaces

2003 ◽  
Vol 4 (2) ◽  
pp. 201 ◽  
Author(s):  
Som Naimpally
Keyword(s):  
Uniform Continuity ◽  
Function Spaces ◽  
Multivalued Function ◽  
Vietoris Topology ◽  
Uniform Topology ◽  
Fell Topology

<p>In this paper we present two themes. The first one describes a transparent treatment of some of the recent results in graph topologies on multi-valued functions. The study includes Vietoris topology, Fell topology, Fell uniform topology on compacta and uniform topology on compacta. The second theme concerns when continuity is equivalent to proximal continuity or uniform continuity.</p>

scholarly journals Topological classification of function spaces with the Fell topology III

2016 ◽  
Vol 197 ◽  
pp. 112-132 ◽  
Author(s):  
Zhongqiang Yang ◽  
Liangzhi Chen ◽  
Yanmei Zheng
Keyword(s):  
Function Spaces ◽  
Topological Classification ◽  
Fell Topology

scholarly journals Topological classification of function spaces with the Fell topology IV

2017 ◽  
Vol 228 ◽  
pp. 222-235 ◽  
Author(s):  
Hanbiao Yang ◽  
Zhongqiang Yang ◽  
Yanmei Zheng
Keyword(s):  
Function Spaces ◽  
Topological Classification ◽  
Fell Topology

Topological classification of function spaces with the Fell topology II

2015 ◽  
Vol 187 ◽  
pp. 82-96 ◽  
Author(s):  
Zhongqiang Yang ◽  
Yanmei Zheng ◽  
Jiyang Chen
Keyword(s):  
Function Spaces ◽  
Topological Classification ◽  
Fell Topology

scholarly journals Bornologies and bitopological function spaces

Filomat ◽  
2013 ◽  
Vol 27 (7) ◽  
pp. 1345-1349 ◽  
Author(s):  
Selma Özçağ
Keyword(s):  
Uniform Convergence ◽  
Metric Spaces ◽  
Function Spaces ◽  
Uniform Topology ◽  
Selection Principles ◽  
Strong Uniform Convergence

The aim of this paper is to study certain closure-type properties of function spaces over metric spaces endowed with two topologies: the topology of uniform convergence on a bornology and the topology of strong uniform convergence on a bornology. The study of function spaces with the strong uniform topology on a bornology was initiated by G. Beer and S. Levi in 2009, and then continued by several authors: A. Caserta, G. Di Maio and L'. Hol? in 2010, A. Caserta, G. Di Maio, Lj.D.R. Kocinac in 2012. Properties that we consider in this paper are defined in terms of selection principles.

Function Spaces and Nonsymmetric Norm Preserving Maps

2018 ◽  
Vol 25 (5) ◽  
pp. 729-740
Author(s):  
Hadis Pazandeh ◽  
Fereshteh Sady
Keyword(s):  
Function Spaces

The Mehler-Fock-Clifford transform and pseudo-differential operator on function spaces

Filomat ◽  
2019 ◽  
Vol 33 (8) ◽  
pp. 2457-2469
Author(s):  
Akhilesh Prasad ◽  
S.K. Verma
Keyword(s):  
Differential Operator ◽  
Function Spaces ◽  
Pseudo Differential Operator ◽  
Test Function ◽  
Basic Properties ◽  
Cone Function ◽  
Translation Operators

In this article, weintroduce a new index transform associated with the cone function Pi ??-1/2 (2?x), named as Mehler-Fock-Clifford transform and study its some basic properties. Convolution and translation operators are defined and obtained their estimates under Lp(I, x-1/2 dx) norm. The test function spaces G? and F? are introduced and discussed the continuity of the differential operator and MFC-transform on these spaces. Moreover, the pseudo-differential operator (p.d.o.) involving MFC-transform is defined and studied its continuity between G? and F?.

Topologies Between Compact and Uniform Convergence on Function Spaces, II

1992 ◽  
Vol 18 (1) ◽  
pp. 176 ◽  
Author(s):  
Kundu ◽  
McCoy ◽  
Raha
Keyword(s):  
Uniform Convergence ◽  
Function Spaces
Sign in / Sign up

Export Citation Format

Share Document