scholarly journals Preserver Problems on Function Spaces, Operator Algebras, and Related Topics

2014 ◽  
Vol 2014 ◽  
pp. 1-2
Author(s):  
Antonio M. Peralta ◽  
Chi-Keung Ng ◽  
Ngai-Ching Wong ◽  
Jen-Chih Yao
Keyword(s):  
Operator Algebras ◽  
Function Spaces ◽  
Preserver Problems

scholarly journals Maps Completely Preserving Involutions and Maps Completely Preserving Drazin Inverse

2012 ◽  
Vol 2012 ◽  
pp. 1-13 ◽  
Author(s):  
Hongmei Yao ◽  
Baodong Zheng ◽  
Gang Hong
Keyword(s):  
Banach Spaces ◽  
Operator Algebras ◽  
Drazin Inverse ◽  
Complex Field ◽  
The Real ◽  
Infinite Dimensional ◽  
Standard Operator ◽  
Standard Operator Algebras ◽  
Preserver Problems

Let X and Y be infinite dimensional Banach spaces over the real or complex field 𝔽, and let 𝒜 and ℬ be standard operator algebras on X and Y, respectively. In this paper, the structures of surjective maps from 𝒜 onto ℬ that completely preserve involutions in both directions and that completely preserve Drazin inverse in both direction are determined, respectively. From the structures of these maps, it is shown that involutions and Drazin inverse are invariants of isomorphism in complete preserver problems.

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

PREVALENT PROPERTIES IN FUNCTION SPACES

1998 ◽  
Vol 24 (1) ◽  
pp. 113
Author(s):  
Shi ◽  
Thomson
Keyword(s):  
Function Spaces
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