All Questions

Let $A$ be an infinite dimensional Banach algebra. Even if separable the primitive ideal space of $A$ need not be second-countable when endowed with the hull-kernel topology. Can we at least find an ...

Let $A$ be a Banach algebra, $I$ be a closed two-sided ideal in $A$ and $J$ be a closed two-sided ideal in $I$. When $J$ is a closed two-sided ideal in $A$? (Except modes $I$ be a complemented ideal ...

Let $A$ be a Banach algebra, $I$ be a closed two-sided ideal in $A$, and $J$ be a closed two-sided ideal in $I$ such that there is no ideal between $I$ and $J$. Can we see $dim(\frac{I}{J})<\...

Let $A$ be a Banach algebra and $M(A)$ be its multiplier Banach algebra. Is there any correspondence between closed two sided idaels of $A$ and closed two sided idaels of $M(A)$? Can we see that ...