Reference numberEC/1978/16
Previous numbersCert XX, 105
TitleJohnson, Barry Edward: certificate of election to the Royal Society
DescriptionCitation typed
CitationIn 1967, Johnson proved that all complete algebra-norms on a semi-simple Banach algebra give the same topology, thus solving a problem which had been the most challenging problem on non-communicative Banach algebras since the proof of the corresponding result for commutative algebras by I.M. Gelfand in 1941. Also in 1967, Johnson proved that every derivation on a semi-simple commutative Banach algebra is continuous, thereby adding force to an earlier theorem of I.M. Singer and J. Wermer. Later in the same year with A.M. Sinclair he extended this result to non-commutative Banach algebras, solving a long-standing problem of I. Kaplansky. Johnson has developed the cohomology of Banach algebras, obtaining important applications to the amenability of groups and the structure of algebras. He has also made valuable contributions to harmonic analysis and to operator theory.
Access statusClosed
Fellows associated with this archive
NA4645Johnson; Barry Edward (1937 - 2002)1937 - 2002
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