Iranian Journal of Mathematical Sciences and Informatics
مجله علوم ریاضی و انفورماتیک
IJMSI
Basic Sciences
http://ijmsi.ir
1
admin
1735-4463
2008-9473
8
10.61186/ijmsi
14
8888
13
en
jalali
1395
8
1
gregorian
2016
11
1
11
2
online
1
fulltext
en
Additive Maps Preserving Idempotency of Products or Jordan Products of Operators
تخصصي
Special
پژوهشي
Research paper
<p style=" margin-top:0px; margin-bottom:0px; margin-left:0px; margin-right:0px; -qt-block-indent:0; text-indent:0px;">Let $mathcal{H}$ and $mathcal{K}$ be infinite dimensional Hilbert spaces, while $mathcal{B(H)}$ and $mathcal{B(K)}$ denote the algebras of all linear bounded operators on $mathcal{H}$ and $mathcal{K}$, respectively. We characterize the forms of additive mappings from $mathcal{B(H)}$ into $mathcal{B(K)}$ that preserve the nonzero idempotency of either Jordan products of operators or usual products of operators in both directions.</p>
Operator algebra, Jordan product, Idempotent.
131
137
http://ijmsi.ir/browse.php?a_code=A-10-851-1&slc_lang=en&sid=1
A.
Taghavi
taghavi@umz.ac.ir
10031947532846003966
10031947532846003966
Yes
University of Mazandaran
R.
Hosseinzadeh
ro.hosseinzadeh@umz.ac.ir
10031947532846003967
10031947532846003967
No
University of Mazandaran
H.
Rohi
h.rohi@umz.ac.ir
10031947532846003968
10031947532846003968
No
University of Mazandaran