Abotaleb Sheikhali - Department of Mathematics, Kharazmi University, Tehran, Iran. Abdolmotaleb Sheikhali - Department of Mathematics, Damghan University, Damghan, Iran. Neda Akhlaghi - Department of Mathematics, Kharazmi University, Tehran, Iran.
Let \(X, Y, Z\) be normed spaces. We show that, if \(X\) is reflexive, then some extensions andadjointsof the bounded bilinear map \(f: X\times Y\rightarrow Z\) are Arens regular. Also the left strongly irregular propertyis equivalent to the right strongly irregular property. We show that the right module action \(\pi^*_{2_n}: A^{(n+1)}\times A^{(n)}\rightarrow A^*\) factors, where \(A\) is a Banach algebra.
Abotaleb Sheikhali, Abdolmotaleb Sheikhali, Neda Akhlaghi, Arens Regularity of Banach Module Actions and the Strongly Irregular Property, Journal of Mathematics and Computer Science, 13 (2014), no. 1, 41-46
Sheikhali Abotaleb, Sheikhali Abdolmotaleb, Akhlaghi Neda, Arens Regularity of Banach Module Actions and the Strongly Irregular Property. J Math Comput SCI-JM. (2014); 13(1):41-46
Sheikhali, Abotaleb, Sheikhali, Abdolmotaleb, Akhlaghi, Neda. "Arens Regularity of Banach Module Actions and the Strongly Irregular Property." Journal of Mathematics and Computer Science, 13, no. 1 (2014): 41-46