Geodesic
Invariance of Arens Irregularity under Extensions
Bulletin of the Malaysian Mathematical Society, Tome 36 (2013) no. 2 Cet article a éte moissonné depuis la source Bulletin of the Malaysian Mathematical Society website

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Let $m$ be a bounded bilinear mapping on Banach spaces. First we give a sufficient condition for strong irregularity of $m$ and apply the result to extend some earlier results by \"{U}lger. Next, we study invariance of irregularity for $m$ under extension of its domain from left or right. As a consequence, we improve some known results about Arens regularity. Finally, we investigate invariance of irregularity for direct sum of a family of Banach algebras.
Classification : Primary 46H20, 46H25; Secondary 43A20 
@article{BMMS_2013_36_2_a13,
     author = {Ali Reza Nooreddiny and Abdolhamid Riazi},
     title = {Invariance of {Arens} {Irregularity} under {Extensions}},
     journal = {Bulletin of the Malaysian Mathematical Society},
     year = {2013},
     volume = {36},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/BMMS_2013_36_2_a13/}
}
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AU  - Abdolhamid Riazi
TI  - Invariance of Arens Irregularity under Extensions
JO  - Bulletin of the Malaysian Mathematical Society
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%A Abdolhamid Riazi
%T Invariance of Arens Irregularity under Extensions
%J Bulletin of the Malaysian Mathematical Society
%D 2013
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Ali Reza Nooreddiny; Abdolhamid Riazi. Invariance of Arens Irregularity under Extensions. Bulletin of the Malaysian Mathematical Society, Tome 36 (2013) no. 2. http://geodesic.mathdoc.fr/item/BMMS_2013_36_2_a13/