Let $A$ be a Banach algebra and $I, J$ be two sided closed ideals of it. Let $I\subseteq J$, can we see $\|a+J\|\leq \|a+I\|$, for every $a\in A$, in general? and when it is an equality?
2026-03-25 07:43:27.1774424607
quotient norms in a Banach algebra
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