TY - JOUR
ID - 244939
TI - On Some Linear Operators Preserving Disjoint Support Property
JO - Sahand Communications in Mathematical Analysis
JA - SCMA
LA - en
SN - 2322-5807
AU - Eftekhari, Noha
AU - Bayati Eshkaftaki, Ali
AD - Department of pure Mathematics, Faculty of Mathematical Sciences,
University of Shahrekord, P.O.Box 115, Shahrekord, 88186-34141, Iran.
Y1 - 2021
PY - 2021
VL - 18
IS - 3
SP - 41
EP - 49
KW - Disjoint support
KW - Codomain
KW - Linear preserver
KW - Isometry
DO - 10.22130/scma.2021.115697.690
N2 - The aim of this work is to characterize all bounded linear operators $T:lpirightarrowlpi$ which preserve disjoint support property. We show that the constant coefficients of all isometries on $lpi$ are in the class of such operators, where $2neq pin [1,infty )$ and $I$ is a non-empty set. We extend preserving disjoint support property to linear operators on $mathfrak{c}_{0}(I).$ At the end, we obtain some equivalent properties of isometries on Banach spaces.
UR - https://scma.maragheh.ac.ir/article_244939.html
L1 - https://scma.maragheh.ac.ir/article_244939_078140515abfaf77ad6892470871daab.pdf
ER -