ARENS REGULARITY AND STRONG IRREGULARITY OF CERTAIN BILINEAR MAPPINGS

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Arens regularity of bilinear maps and Banach modules actions

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arens regularity of bilinear forms and unital banach module spaces

assume that $a$‎, ‎$b$ are banach algebras and that $m:atimes brightarrow b$‎, ‎$m^prime:atimes arightarrow b$ are bounded bilinear mappings‎. ‎we study the relationships between arens regularity of $m$‎, ‎$m^prime$ and the banach algebras $a$‎, ‎$b$‎. ‎for a banach $a‎$‎-bimodule $b$‎, ‎we show that $b$ factors with respect to $a$ if and only if $b^{**}$ is unital as an $a^{**}‎$‎-module‎. ‎le...

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ژورنال

عنوان ژورنال: Facta Universitatis, Series: Mathematics and Informatics

سال: 2019

ISSN: 2406-047X,0352-9665

DOI: 10.22190/fumi1905815m