Arens Regularity of Banach Module Actions and the Strongly Irregular Property


Authors

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.


Abstract

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.


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ISRP Style

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

AMA Style

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

Chicago/Turabian Style

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


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