TY - JOUR
ID - 118918
TI - Strong algebrability of C^* algebras
JO - Annals of Optimization Theory and Practice
JA - AOTP
LA - en
SN - 2588-3666
AU - Sharafi, Javad
AD - University of Imam Ali
Y1 - 2020
PY - 2020
VL - 3
IS - 1
SP - 15
EP - 24
KW - C^* algebras
KW - Subalgebra
KW - Strong algebrability
DO - 10.22121/aotp.2020.230247.1029
N2 - In this paper, we introduce the concept strong algebrability of certain C^* algebras generated by finite generators. In fact, using Gelfand theorem, we identify the members of the C^* algebra generated by one element, with the continuous functions on its spectrum, and use some recent result for strong algebrability for functions spaces. Moreover, we introduce the new concept unitable elements in unital C^* algebras, and then we express our main result for this kind of elements. In fact, the C^* subalgebra generated by a non unitable element in a C^* algebra is strongly c algebrable. As the last result in this paper, we show 2^c strong algebrability of direct sums of C^* algebras, using non unitable elements of them.
UR - http://aotp.fabad-ihe.ac.ir/article_118918.html
L1 - http://aotp.fabad-ihe.ac.ir/article_118918_8ae966989526ff6db6c69d6850e3bd53.pdf
ER -