Banach manifolds and the Gelfand representation theorem

S.T.M. Ackermans

doi:10.1016/1385-7258(78)90033-1

Banach manifolds and the Gelfand representation theorem

S.T.M. Ackermans

Mathematics and Computer Science

Research output: Contribution to journal › Article › Academic › peer-review

Abstract

The Gelfand representation of a commutative Banach algebra A is extended to principal extensions of Riemann surfaces over A. A modification of the well-known description of the principal extension of the Riemann sphere over a (generally non commutative) Banach algebra is also given.

Original language	English
Pages (from-to)	157-164
Number of pages	8
Journal	Indagationes Mathematicae (Proceedings)
Volume	81
Issue number	2
DOIs	https://doi.org/10.1016/1385-7258(78)90033-1
Publication status	Published - 1978

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title = "Banach manifolds and the Gelfand representation theorem",

abstract = "The Gelfand representation of a commutative Banach algebra A is extended to principal extensions of Riemann surfaces over A. A modification of the well-known description of the principal extension of the Riemann sphere over a (generally non commutative) Banach algebra is also given.",

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JO - Indagationes Mathematicae (Proceedings)

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Banach manifolds and the Gelfand representation theorem

Abstract

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