Stability of 2nd conjugate Banach algebras
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In general the stability of normed algebras is a non hereditary property. We shall prove that second conjugate Banach algebras may be non stable even if the underlying Banach algebra is stable. We shall characterize stability of second conjugate Banach algebras. Finally, we shall study kinds of stability induced on an algebra with an stable second conjugate algebra.
Mathematics Subject ClassificationPrimary 46H99 Secondary 47B48
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