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Raising bounded groups and splitting of radical extensions of commutative Banach algebras

Volume 141 / 2000

W. Bade, P. Curtis, A. Sinclair Studia Mathematica 141 (2000), 85-98 DOI: 10.4064/sm-141-1-85-98

Abstract

Let A be a commutative unital Banach algebra and let A/ℛ be the quotient algebra of A modulo its radical ℛ. This paper is concerned with raising bounded groups in A/ℛ to bounded groups in the algebra A. The results will be applied to the problem of splitting radical extensions of certain Banach algebras.

Authors

  • W. Bade
  • P. Curtis
  • A. Sinclair

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