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DTSTART:19700329T010000
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UID:1349
SUMMARY:Pure Mathematics Seminar: Richard Skillicorn
DESCRIPTION:Extensions of Banach Algebras: Algebraic and Strong Splittings\n\nAn extension 0 --> I --> B --> A --> 0 of a Banach algebra A splits algebraically if there is an algebra homomorphism rho: A--> B which is a right inverse of pi: B-->A, and splits strongly if rho is also continuous.\n\nBade, Dales and Lykova (1999) studied which Banach algebras A have the property that every extension which splits algebraically automatically splits strongly. For the case A=B(E), the Banach algebra of bounded operators on a Banach space E, they observed that no extension which splits algebraically, but not strongly, is known; their question was whether this is true in general.\n\nWe answer this question in the negative, using a Banach space constructed by Read (1989).
DTSTART:20140430T150000
DTEND:20140430T160000
LOCATION:A54, Postgraduate Statistics Centre Lecture Theatre
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