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Yemon Choi
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Let B be a closed left ideal of a Banach algebra A. Also, B has ana right approximate identity in(in B).

If g beis a nonzero multiplicative linear functional on B, then " can we always extend g to a multiplicative linear functional on A ? "

Let B be a closed left ideal of a Banach algebra A. Also, B has an right approximate identity in B.

If g be a nonzero multiplicative linear functional on B, then " can we extend g to a multiplicative linear functional on A ? "

Let B be a closed left ideal of a Banach algebra A. Also, B has a right approximate identity (in B).

If g is a nonzero multiplicative linear functional on B, can we always extend g to a multiplicative linear functional on A ?

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Can we extend a multiplicative linear functional of a closed left ideal on whole of the algebra?

Let B be a closed left ideal of a Banach algebra A. Also, B has an right approximate identity in B.

If g be a nonzero multiplicative linear functional on B, then " can we extend g to a multiplicative linear functional on A ? "