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Fréchet algebras with a Laurent series generator and the annulus algebras

Published online by Cambridge University Press:  17 April 2009

S. J. Bhatt ,
H. V. Dedania  and
S. R. Patel
S. J. Bhatt
Affiliation:
Department of Mathematics, Sardar Patel University, Vallabh Vidyanagar 388 120, Gujarat, India, e-mail: sjb@spu.ernet.inharesh@spu.ernet.incoolpatel@spu.ernet.in
H. V. Dedania
Affiliation:
Department of Mathematics, Sardar Patel University, Vallabh Vidyanagar 388 120, Gujarat, India, e-mail: sjb@spu.ernet.inharesh@spu.ernet.incoolpatel@spu.ernet.in
S. R. Patel
Affiliation:
Department of Mathematics, Sardar Patel University, Vallabh Vidyanagar 388 120, Gujarat, India, e-mail: sjb@spu.ernet.inharesh@spu.ernet.incoolpatel@spu.ernet.in
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Abstract

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Banach and Fréchet algebras with a Laurent series generator are investigated leading, via the discrete Beurling algebras, to functional analytic characterisations of the holomorphic function algebras on the annulus as well as the C∞-algebra on the unit circle.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 65 , Issue 3 , June 2002 , pp. 371 - 383
Copyright
Copyright © Australian Mathematical Society 2002

References

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